Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(232, 202, 150, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(232, 202, 150, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:0;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:0;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:0;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:0;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:0;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(232, 202, 150, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:0;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:0;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:0;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:0;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:0;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:0;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(189, 205, 191, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:0;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:0;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:0;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(189, 205, 191, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(189, 205, 191, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:0;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:0;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:0;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:0;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(228, 205, 165, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:0;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:0;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(228, 205, 165, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(228, 205, 165, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:0;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:0;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(181, 199, 217, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:0;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(181, 199, 217, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(181, 199, 217, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(205, 203, 199, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(232, 202, 150, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(232, 202, 150, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card4-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card4-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_p'(x)}} = 3x^2 + 2px + 2}}Fp′(x)=3x2+2px+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card4-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card4-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_p'(x)}} = 3x^2 + 2px + 2}}Fp′(x)=3x2+2px+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card4-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card4-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_p'(x)}} = 3x^2 + 2px + 2}}Fp′(x)=3x2+2px+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card4-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card4-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_p'(x)}} = 3x^2 + 2px + 2}}Fp′(x)=3x2+2px+2 0=3x2+2px+2\htmlData{piece-key=row2-column1-card4-content2-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{0}} = 3x^2 + \htmlData{piece-key=row2-column1-card4-content2-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2px}} + 20=3x2+2px+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card4-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card4-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_p'(x)}} = 3x^2 + 2px + 2}}Fp′(x)=3x2+2px+2 0=3x2+2px+2\htmlData{piece-key=row2-column1-card4-content2-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{0}} = 3x^2 + \htmlData{piece-key=row2-column1-card4-content2-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2px}} + 20=3x2+2px+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card4-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card4-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_p'(x)}} = 3x^2 + 2px + 2}}Fp′(x)=3x2+2px+2 0=3x2+2px+2\htmlData{piece-key=row2-column1-card4-content2-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{0}} = 3x^2 + \htmlData{piece-key=row2-column1-card4-content2-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2px}} + 20=3x2+2px+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card4-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card4-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_p'(x)}} = 3x^2 + 2px + 2}}Fp′(x)=3x2+2px+2 0=3x2+2px+2\htmlData{piece-key=row2-column1-card4-content2-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{0}} = 3x^2 + \htmlData{piece-key=row2-column1-card4-content2-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2px}} + 20=3x2+2px+2 −2px=3x2+2\htmlData{piece-key=row2-column1-card4-content3-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{-2\htmlData{piece-key=row2-column1-card4-content3-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}} = 3x^2 + 2−2px=3x2+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card4-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card4-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_p'(x)}} = 3x^2 + 2px + 2}}Fp′(x)=3x2+2px+2 0=3x2+2px+2\htmlData{piece-key=row2-column1-card4-content2-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{0}} = 3x^2 + \htmlData{piece-key=row2-column1-card4-content2-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(221, 210, 192, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{2px}} + 20=3x2+2px+2 −2px=3x2+2\htmlData{piece-key=row2-column1-card4-content3-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{-2\htmlData{piece-key=row2-column1-card4-content3-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}} = 3x^2 + 2−2px=3x2+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card4-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card4-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_p'(x)}} = 3x^2 + 2px + 2}}Fp′(x)=3x2+2px+2 0=3x2+2px+2\htmlData{piece-key=row2-column1-card4-content2-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{0}} = 3x^2 + \htmlData{piece-key=row2-column1-card4-content2-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(221, 210, 192, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{2px}} + 20=3x2+2px+2 −2px=3x2+2\htmlData{piece-key=row2-column1-card4-content3-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(221, 210, 192, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{-2\htmlData{piece-key=row2-column1-card4-content3-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}} = 3x^2 + 2−2px=3x2+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card4-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card4-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_p'(x)}} = 3x^2 + 2px + 2}}Fp′(x)=3x2+2px+2 0=3x2+2px+2\htmlData{piece-key=row2-column1-card4-content2-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{0}} = 3x^2 + \htmlData{piece-key=row2-column1-card4-content2-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2px}} + 20=3x2+2px+2 −2px=3x2+2\htmlData{piece-key=row2-column1-card4-content3-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{-2\htmlData{piece-key=row2-column1-card4-content3-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}} = 3x^2 + 2−2px=3x2+2 −2px−2x=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content4-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{-2px}{\htmlData{piece-key=row2-column1-card4-content4-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{-2x}}}}} = \frac{3x^2 + 2}{\htmlData{piece-key=row2-column1-card4-content4-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{-2x}}}−2x−2px=−2x3x2+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card4-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card4-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_p'(x)}} = 3x^2 + 2px + 2}}Fp′(x)=3x2+2px+2 0=3x2+2px+2\htmlData{piece-key=row2-column1-card4-content2-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{0}} = 3x^2 + \htmlData{piece-key=row2-column1-card4-content2-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2px}} + 20=3x2+2px+2 −2px=3x2+2\htmlData{piece-key=row2-column1-card4-content3-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{-2\htmlData{piece-key=row2-column1-card4-content3-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(232, 202, 150, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}} = 3x^2 + 2−2px=3x2+2 −2px−2x=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content4-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{-2px}{\htmlData{piece-key=row2-column1-card4-content4-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{-2x}}}}} = \frac{3x^2 + 2}{\htmlData{piece-key=row2-column1-card4-content4-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{-2x}}}−2x−2px=−2x3x2+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card4-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card4-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_p'(x)}} = 3x^2 + 2px + 2}}Fp′(x)=3x2+2px+2 0=3x2+2px+2\htmlData{piece-key=row2-column1-card4-content2-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{0}} = 3x^2 + \htmlData{piece-key=row2-column1-card4-content2-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2px}} + 20=3x2+2px+2 −2px=3x2+2\htmlData{piece-key=row2-column1-card4-content3-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{-2\htmlData{piece-key=row2-column1-card4-content3-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(232, 202, 150, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}} = 3x^2 + 2−2px=3x2+2 −2px−2x=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content4-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{-2px}{\htmlData{piece-key=row2-column1-card4-content4-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(196, 221, 184, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{-2x}}}}} = \frac{3x^2 + 2}{\htmlData{piece-key=row2-column1-card4-content4-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(196, 221, 184, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{-2x}}}−2x−2px=−2x3x2+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card4-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card4-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_p'(x)}} = 3x^2 + 2px + 2}}Fp′(x)=3x2+2px+2 0=3x2+2px+2\htmlData{piece-key=row2-column1-card4-content2-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{0}} = 3x^2 + \htmlData{piece-key=row2-column1-card4-content2-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2px}} + 20=3x2+2px+2 −2px=3x2+2\htmlData{piece-key=row2-column1-card4-content3-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{-2\htmlData{piece-key=row2-column1-card4-content3-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}} = 3x^2 + 2−2px=3x2+2 −2px−2x=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content4-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{-2px}{\htmlData{piece-key=row2-column1-card4-content4-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{-2x}}}}} = \frac{3x^2 + 2}{\htmlData{piece-key=row2-column1-card4-content4-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{-2x}}}−2x−2px=−2x3x2+2 p=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}} = \htmlData{piece-key=row2-column1-card4-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^2 + 2}{-2x}}}p=−2x3x2+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card4-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card4-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_p'(x)}} = 3x^2 + 2px + 2}}Fp′(x)=3x2+2px+2 0=3x2+2px+2\htmlData{piece-key=row2-column1-card4-content2-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{0}} = 3x^2 + \htmlData{piece-key=row2-column1-card4-content2-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2px}} + 20=3x2+2px+2 −2px=3x2+2\htmlData{piece-key=row2-column1-card4-content3-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{-2\htmlData{piece-key=row2-column1-card4-content3-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}} = 3x^2 + 2−2px=3x2+2 −2px−2x=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content4-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{-2px}{\htmlData{piece-key=row2-column1-card4-content4-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{-2x}}}}} = \frac{3x^2 + 2}{\htmlData{piece-key=row2-column1-card4-content4-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{-2x}}}−2x−2px=−2x3x2+2 p=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}} = \htmlData{piece-key=row2-column1-card4-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^2 + 2}{-2x}}}p=−2x3x2+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card4-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card4-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_p'(x)}} = 3x^2 + 2px + 2}}Fp′(x)=3x2+2px+2 0=3x2+2px+2\htmlData{piece-key=row2-column1-card4-content2-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{0}} = 3x^2 + \htmlData{piece-key=row2-column1-card4-content2-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2px}} + 20=3x2+2px+2 −2px=3x2+2\htmlData{piece-key=row2-column1-card4-content3-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{-2\htmlData{piece-key=row2-column1-card4-content3-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}} = 3x^2 + 2−2px=3x2+2 −2px−2x=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content4-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{-2px}{\htmlData{piece-key=row2-column1-card4-content4-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{-2x}}}}} = \frac{3x^2 + 2}{\htmlData{piece-key=row2-column1-card4-content4-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{-2x}}}−2x−2px=−2x3x2+2 p=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}} = \htmlData{piece-key=row2-column1-card4-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^2 + 2}{-2x}}}p=−2x3x2+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken p=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}} = \htmlData{piece-key=row2-column1-card4-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^2 + 2}{-2x}}}p=−2x3x2+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3 R(x)=x3+3x2+2−2xx2+2x+3R(x) = x^3 + \htmlData{piece-key=row2-column1-card2-content2-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{\htmlData{piece-key=row2-column1-card2-content2-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2 + 2}}}{-2x}}}\htmlData{piece-key=row2-column1-card2-content2-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^2}} + 2x + 3R(x)=x3+−2x3x2+2x2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken p=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}} = \htmlData{piece-key=row2-column1-card4-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^2 + 2}{-2x}}}p=−2x3x2+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(229, 168, 168, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3 R(x)=x3+3x2+2−2xx2+2x+3R(x) = x^3 + \htmlData{piece-key=row2-column1-card2-content2-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{\htmlData{piece-key=row2-column1-card2-content2-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2 + 2}}}{-2x}}}\htmlData{piece-key=row2-column1-card2-content2-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^2}} + 2x + 3R(x)=x3+−2x3x2+2x2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken p=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}} = \htmlData{piece-key=row2-column1-card4-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^2 + 2}{-2x}}}p=−2x3x2+2
Oplossing R(x)=x3+px2+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card2-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3 + \htmlData{piece-key=row2-column1-card2-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(229, 168, 168, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2 + 2x + 3}}}}R(x)=x3+px2+2x+3 R(x)=x3+3x2+2−2xx2+2x+3R(x) = x^3 + \htmlData{piece-key=row2-column1-card2-content2-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{\htmlData{piece-key=row2-column1-card2-content2-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2 + 2}}}{-2x}}}\htmlData{piece-key=row2-column1-card2-content2-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^2}} + 2x + 3R(x)=x3+−2x3x2+2x2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken p=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}} = \htmlData{piece-key=row2-column1-card4-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^2 + 2}{-2x}}}p=−2x3x2+2
Oplossing R(x)=x3+3x2+2−2xx2+2x+3R(x) = x^3 + \htmlData{piece-key=row2-column1-card2-content2-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{\htmlData{piece-key=row2-column1-card2-content2-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2 + 2}}}{-2x}}}\htmlData{piece-key=row2-column1-card2-content2-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^2}} + 2x + 3R(x)=x3+−2x3x2+2x2+2x+3 R(x)=x3+3x4+2x2−2x+2x+3R(x) = x^3 + \htmlData{piece-key=row2-column1-card2-content3-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{\htmlData{piece-key=row2-column1-card2-content3-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^4 + 2x^2}}}{-2x}}} + 2x + 3R(x)=x3+−2x3x4+2x2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken p=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}} = \htmlData{piece-key=row2-column1-card4-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^2 + 2}{-2x}}}p=−2x3x2+2
Oplossing R(x)=x3+3x2+2−2xx2+2x+3R(x) = x^3 + \htmlData{piece-key=row2-column1-card2-content2-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{\htmlData{piece-key=row2-column1-card2-content2-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2 + 2}}}{-2x}}}\htmlData{piece-key=row2-column1-card2-content2-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^2}} + 2x + 3R(x)=x3+−2x3x2+2x2+2x+3 R(x)=x3+3x4+2x2−2x+2x+3R(x) = x^3 + \htmlData{piece-key=row2-column1-card2-content3-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{\htmlData{piece-key=row2-column1-card2-content3-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^4 + 2x^2}}}{-2x}}} + 2x + 3R(x)=x3+−2x3x4+2x2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken p=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}} = \htmlData{piece-key=row2-column1-card4-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^2 + 2}{-2x}}}p=−2x3x2+2
Oplossing R(x)=x3+3x2+2−2xx2+2x+3R(x) = x^3 + \htmlData{piece-key=row2-column1-card2-content2-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{\htmlData{piece-key=row2-column1-card2-content2-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2 + 2}}}{-2x}}}\htmlData{piece-key=row2-column1-card2-content2-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^2}} + 2x + 3R(x)=x3+−2x3x2+2x2+2x+3 R(x)=x3+3x4+2x2−2x+2x+3R(x) = x^3 + \htmlData{piece-key=row2-column1-card2-content3-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{\htmlData{piece-key=row2-column1-card2-content3-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^4 + 2x^2}}}{-2x}}} + 2x + 3R(x)=x3+−2x3x4+2x2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken p=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}} = \htmlData{piece-key=row2-column1-card4-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^2 + 2}{-2x}}}p=−2x3x2+2
Oplossing R(x)=x3+3x4+2x2−2x+2x+3R(x) = x^3 + \htmlData{piece-key=row2-column1-card2-content3-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{\htmlData{piece-key=row2-column1-card2-content3-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^4 + 2x^2}}}{-2x}}} + 2x + 3R(x)=x3+−2x3x4+2x2+2x+3 R(x)=x3+3x4−2x+2x2−2x+2x+3R(x) = x^3 + \htmlData{piece-key=row2-column1-card2-content4-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^4}{-2x}}} + \htmlData{piece-key=row2-column1-card2-content4-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{2x^2}{-2x}}} + 2x + 3R(x)=x3+−2x3x4+−2x2x2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken p=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}} = \htmlData{piece-key=row2-column1-card4-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^2 + 2}{-2x}}}p=−2x3x2+2
Oplossing R(x)=x3+3x4+2x2−2x+2x+3R(x) = x^3 + \htmlData{piece-key=row2-column1-card2-content3-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{\htmlData{piece-key=row2-column1-card2-content3-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^4 + 2x^2}}}{-2x}}} + 2x + 3R(x)=x3+−2x3x4+2x2+2x+3 R(x)=x3+3x4−2x+2x2−2x+2x+3R(x) = x^3 + \htmlData{piece-key=row2-column1-card2-content4-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^4}{-2x}}} + \htmlData{piece-key=row2-column1-card2-content4-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{2x^2}{-2x}}} + 2x + 3R(x)=x3+−2x3x4+−2x2x2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken p=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}} = \htmlData{piece-key=row2-column1-card4-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^2 + 2}{-2x}}}p=−2x3x2+2
Oplossing R(x)=x3+3x4+2x2−2x+2x+3R(x) = x^3 + \htmlData{piece-key=row2-column1-card2-content3-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{\htmlData{piece-key=row2-column1-card2-content3-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^4 + 2x^2}}}{-2x}}} + 2x + 3R(x)=x3+−2x3x4+2x2+2x+3 R(x)=x3+3x4−2x+2x2−2x+2x+3R(x) = x^3 + \htmlData{piece-key=row2-column1-card2-content4-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^4}{-2x}}} + \htmlData{piece-key=row2-column1-card2-content4-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{2x^2}{-2x}}} + 2x + 3R(x)=x3+−2x3x4+−2x2x2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken p=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}} = \htmlData{piece-key=row2-column1-card4-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^2 + 2}{-2x}}}p=−2x3x2+2
Oplossing R(x)=x3+3x4−2x+2x2−2x+2x+3R(x) = x^3 + \htmlData{piece-key=row2-column1-card2-content4-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^4}{-2x}}} + \htmlData{piece-key=row2-column1-card2-content4-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{2x^2}{-2x}}} + 2x + 3R(x)=x3+−2x3x4+−2x2x2+2x+3 R(x)=x3−32x3+2x2−2x+2x+3R(x) = x^3 \htmlData{piece-key=row2-column1-card2-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{- \frac{3}{2}x^3}} + \htmlData{piece-key=row2-column1-card2-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{2x^2}{-2x}}} + 2x + 3R(x)=x3−23x3+−2x2x2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken p=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}} = \htmlData{piece-key=row2-column1-card4-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^2 + 2}{-2x}}}p=−2x3x2+2
Oplossing R(x)=x3+3x4−2x+2x2−2x+2x+3R(x) = x^3 + \htmlData{piece-key=row2-column1-card2-content4-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^4}{-2x}}} + \htmlData{piece-key=row2-column1-card2-content4-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{2x^2}{-2x}}} + 2x + 3R(x)=x3+−2x3x4+−2x2x2+2x+3 R(x)=x3−32x3+2x2−2x+2x+3R(x) = x^3 \htmlData{piece-key=row2-column1-card2-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{- \frac{3}{2}x^3}} + \htmlData{piece-key=row2-column1-card2-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{2x^2}{-2x}}} + 2x + 3R(x)=x3−23x3+−2x2x2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken p=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}} = \htmlData{piece-key=row2-column1-card4-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^2 + 2}{-2x}}}p=−2x3x2+2
Oplossing R(x)=x3+3x4−2x+2x2−2x+2x+3R(x) = x^3 + \htmlData{piece-key=row2-column1-card2-content4-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^4}{-2x}}} + \htmlData{piece-key=row2-column1-card2-content4-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{2x^2}{-2x}}} + 2x + 3R(x)=x3+−2x3x4+−2x2x2+2x+3 R(x)=x3−32x3+2x2−2x+2x+3R(x) = x^3 \htmlData{piece-key=row2-column1-card2-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{- \frac{3}{2}x^3}} + \htmlData{piece-key=row2-column1-card2-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{2x^2}{-2x}}} + 2x + 3R(x)=x3−23x3+−2x2x2+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken p=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}} = \htmlData{piece-key=row2-column1-card4-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^2 + 2}{-2x}}}p=−2x3x2+2
Oplossing R(x)=x3−32x3+2x2−2x+2x+3R(x) = x^3 \htmlData{piece-key=row2-column1-card2-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{- \frac{3}{2}x^3}} + \htmlData{piece-key=row2-column1-card2-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{2x^2}{-2x}}} + 2x + 3R(x)=x3−23x3+−2x2x2+2x+3 R(x)=x3−32x3−x+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content6-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} \htmlData{piece-key=row2-column1-card2-content6-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{- \frac{3}{2}x^3}} \htmlData{piece-key=row2-column1-card2-content6-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{- x}} + 2x + 3R(x)=x3−23x3−x+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken p=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}} = \htmlData{piece-key=row2-column1-card4-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^2 + 2}{-2x}}}p=−2x3x2+2
Oplossing R(x)=x3−32x3+2x2−2x+2x+3R(x) = x^3 \htmlData{piece-key=row2-column1-card2-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{- \frac{3}{2}x^3}} + \htmlData{piece-key=row2-column1-card2-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{2x^2}{-2x}}} + 2x + 3R(x)=x3−23x3+−2x2x2+2x+3 R(x)=x3−32x3−x+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content6-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} \htmlData{piece-key=row2-column1-card2-content6-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{- \frac{3}{2}x^3}} \htmlData{piece-key=row2-column1-card2-content6-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{- x}} + 2x + 3R(x)=x3−23x3−x+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken p=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}} = \htmlData{piece-key=row2-column1-card4-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^2 + 2}{-2x}}}p=−2x3x2+2
Oplossing R(x)=x3−32x3+2x2−2x+2x+3R(x) = x^3 \htmlData{piece-key=row2-column1-card2-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{- \frac{3}{2}x^3}} + \htmlData{piece-key=row2-column1-card2-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{2x^2}{-2x}}} + 2x + 3R(x)=x3−23x3+−2x2x2+2x+3 R(x)=x3−32x3−x+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content6-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} \htmlData{piece-key=row2-column1-card2-content6-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{- \frac{3}{2}x^3}} \htmlData{piece-key=row2-column1-card2-content6-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{- x}} + 2x + 3R(x)=x3−23x3−x+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken p=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}} = \htmlData{piece-key=row2-column1-card4-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^2 + 2}{-2x}}}p=−2x3x2+2
Oplossing R(x)=x3−32x3−x+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content6-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} \htmlData{piece-key=row2-column1-card2-content6-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{- \frac{3}{2}x^3}} \htmlData{piece-key=row2-column1-card2-content6-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{- x}} + 2x + 3R(x)=x3−23x3−x+2x+3 R(x)=−12x3−x+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content7-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{-\frac{1}{2}x^3}} \htmlData{piece-key=row2-column1-card2-content7-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{- x}} + \htmlData{piece-key=row2-column1-card2-content7-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} + 3R(x)=−21x3−x+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken p=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}} = \htmlData{piece-key=row2-column1-card4-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^2 + 2}{-2x}}}p=−2x3x2+2
Oplossing R(x)=x3−32x3−x+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content6-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} \htmlData{piece-key=row2-column1-card2-content6-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{- \frac{3}{2}x^3}} \htmlData{piece-key=row2-column1-card2-content6-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{- x}} + 2x + 3R(x)=x3−23x3−x+2x+3 R(x)=−12x3−x+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content7-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{-\frac{1}{2}x^3}} \htmlData{piece-key=row2-column1-card2-content7-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{- x}} + \htmlData{piece-key=row2-column1-card2-content7-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} + 3R(x)=−21x3−x+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken p=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}} = \htmlData{piece-key=row2-column1-card4-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^2 + 2}{-2x}}}p=−2x3x2+2
Oplossing R(x)=x3−32x3−x+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content6-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} \htmlData{piece-key=row2-column1-card2-content6-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{- \frac{3}{2}x^3}} \htmlData{piece-key=row2-column1-card2-content6-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{- x}} + 2x + 3R(x)=x3−23x3−x+2x+3 R(x)=−12x3−x+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content7-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{-\frac{1}{2}x^3}} \htmlData{piece-key=row2-column1-card2-content7-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{- x}} + \htmlData{piece-key=row2-column1-card2-content7-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} + 3R(x)=−21x3−x+2x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken p=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}} = \htmlData{piece-key=row2-column1-card4-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^2 + 2}{-2x}}}p=−2x3x2+2
Oplossing R(x)=−12x3−x+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content7-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{-\frac{1}{2}x^3}} \htmlData{piece-key=row2-column1-card2-content7-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{- x}} + \htmlData{piece-key=row2-column1-card2-content7-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} + 3R(x)=−21x3−x+2x+3 R(x)=−12x3+x+3R(x) = -\frac{1}{2}x^3 \htmlData{piece-key=row2-column1-card2-content8-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ x}} + 3R(x)=−21x3+x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken p=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}} = \htmlData{piece-key=row2-column1-card4-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^2 + 2}{-2x}}}p=−2x3x2+2
Oplossing R(x)=−12x3−x+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content7-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{-\frac{1}{2}x^3}} \htmlData{piece-key=row2-column1-card2-content7-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{- x}} + \htmlData{piece-key=row2-column1-card2-content7-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} + 3R(x)=−21x3−x+2x+3 R(x)=−12x3+x+3R(x) = -\frac{1}{2}x^3 \htmlData{piece-key=row2-column1-card2-content8-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ x}} + 3R(x)=−21x3+x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken p=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}} = \htmlData{piece-key=row2-column1-card4-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^2 + 2}{-2x}}}p=−2x3x2+2
Oplossing R(x)=−12x3−x+2x+3R(x) = \htmlData{piece-key=row2-column1-card2-content7-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{-\frac{1}{2}x^3}} \htmlData{piece-key=row2-column1-card2-content7-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{- x}} + \htmlData{piece-key=row2-column1-card2-content7-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} + 3R(x)=−21x3−x+2x+3 R(x)=−12x3+x+3R(x) = -\frac{1}{2}x^3 \htmlData{piece-key=row2-column1-card2-content8-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(253, 232, 208, 1);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ x}} + 3R(x)=−21x3+x+3
Opgave Bepaal de formule van de kromme waar alle toppen van de functies Fp(x)=x3+px2+2x+3F_p(x) = x^3 + px^2 + 2x + 3Fp(x)=x3+px2+2x+3 op liggen.
Formule uit de opgave Fp(x)=x3+px2+2x+3F_{\htmlData{piece-key=row2-column1-card1-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}(x) = \htmlData{piece-key=row2-column1-card1-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{x^3}} + \htmlData{piece-key=row2-column1-card1-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card1-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x^2}} + \htmlData{piece-key=row2-column1-card1-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{2x}} \htmlData{piece-key=row2-column1-card1-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 3}}}}Fp(x)=x3+px2+2x+3
Afgeleide Fp′(x)=3x2+2px+2\htmlData{piece-key=row2-column1-card3-content1-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{F_{\htmlData{piece-key=row2-column1-card3-content1-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}}'(x) = \htmlData{piece-key=row2-column1-card3-content1-piece-2}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-3}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{3x^2}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-4}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-5}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2\htmlData{piece-key=row2-column1-card3-content1-piece-6}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}}x}}}}\htmlData{piece-key=row2-column1-card3-content1-piece-7}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\htmlData{piece-key=row2-column1-card3-content1-piece-8}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ 2}}}}}}Fp′(x)=3x2+2px+2
p in x uitdrukken p=3x2+2−2x\htmlData{piece-key=row2-column1-card4-content5-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{p}} = \htmlData{piece-key=row2-column1-card4-content5-piece-1}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{\frac{3x^2 + 2}{-2x}}}p=−2x3x2+2
Oplossing R(x)=−12x3+x+3R(x) = -\frac{1}{2}x^3 \htmlData{piece-key=row2-column1-card2-content8-piece-0}{\htmlStyle{display:inline-block;vertical-align:baseline;border-radius:0.22em;opacity:1;background-color:rgba(0, 0, 0, 0);transition:opacity 1300ms ease,background-color 1300ms ease;}{+ x}} + 3R(x)=−21x3+x+3