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Beliebt Rechnen >

derivative of (x^3-16x^{10})

Lösung

\frac{d}{d x} ((x^{3} - 16 x)^{10})

Lösung

10 (x^{3} - 16 x)^{9} (3 x^{2} - 16)

Schritte zur Lösung

\frac{d}{d x} ((x^{3} - 16 x)^{10})

Wende die Kettenregel an:

10 (x^{3} - 16 x)^{9} \frac{d}{d x} (x^{3} - 16 x)

= 10 (x^{3} - 16 x)^{9} \frac{d}{d x} (x^{3} - 16 x)

\frac{d}{d x} (x^{3} - 16 x) = 3 x^{2} - 16

= 10 (x^{3} - 16 x)^{9} (3 x^{2} - 16)

Graph

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