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Beliebt Rechnen >

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

Lösung

ableitung von

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

Lösung

9 x^{2} (x^{3} - 2)^{2}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= 3 (x^{3} - 2)^{2} \cdot 3 x^{2}

Vereinfache

= 9 x^{2} (x^{3} - 2)^{2}

Graph

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