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Beliebt Rechnen >

derivative f(x)=(x^3+2x-2)^4

Lösung

ableitung von

f (x) = (x^{3} + 2 x - 2)^{4}

Lösung

4 (x^{3} + 2 x - 2)^{3} (3 x^{2} + 2)

Schritte zur Lösung

\frac{d}{d x} ((x^{3} + 2 x - 2)^{4})

Wende die Kettenregel an:

4 (x^{3} + 2 x - 2)^{3} \frac{d}{d x} (x^{3} + 2 x - 2)

= 4 (x^{3} + 2 x - 2)^{3} \frac{d}{d x} (x^{3} + 2 x - 2)

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

= 4 (x^{3} + 2 x - 2)^{3} (3 x^{2} + 2)

Graph

Beliebte Beispiele

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3 e^{3 x} \frac{d y}{d x} = - 9 \frac{x}{y ^{2}}

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x \to \frac{π}{2} lim (7 sec (x) - 7 tan (x))

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