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Beliebt Rechnen >

(d^2)/(dx^2)f(x)=x^3+3x^2-2x+1

Lösung

\frac{d ^{2}}{d x ^{2}} f (x) = x^{3} + 3 x^{2} - 2 x + 1

Lösung

f (x) = \frac{x ^{5}}{20} + \frac{x ^{4}}{4} - \frac{x ^{3}}{3} + \frac{x ^{2}}{2} + c_{1} x + c_{2}

Schritte zur Lösung

\frac{d ^{2} f}{d x ^{2}} = x^{3} + 3 x^{2} - 2 x + 1

Löse

f^{''} (x) = x^{3} + 3 x^{2} - 2 x + 1 : f^{'} (x) = \frac{x ^{4}}{4} + x^{3} - x^{2} + x + c_{1}

Löse

f^{'} (x) = \frac{x ^{4}}{4} + x^{3} - x^{2} + x + c_{1} : f (x) = \frac{x ^{5}}{20} + \frac{x ^{4}}{4} - \frac{x ^{3}}{3} + \frac{x ^{2}}{2} + c_{1} x + c_{2}

f (x) = \frac{x ^{5}}{20} + \frac{x ^{4}}{4} - \frac{x ^{3}}{3} + \frac{x ^{2}}{2} + c_{1} x + c_{2}

Graph

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