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Beliebt Rechnen >

derivative sin^3(cos(8x))

Lösung

ableitung von

sin^{3} (cos (8 x))

Lösung

- 24 sin^{2} (cos (8 x)) cos (cos (8 x)) sin (8 x)

Schritte zur Lösung

\frac{d}{d x} (sin^{3} (cos (8 x)))

Wende die Kettenregel an:

3 (sin (cos (8 x)))^{2} \frac{d}{d x} (sin (cos (8 x)))

= 3 (sin (cos (8 x)))^{2} \frac{d}{d x} (sin (cos (8 x)))

\frac{d}{d x} (sin (cos (8 x))) = - 8 cos (cos (8 x)) sin (8 x)

= 3 (sin (cos (8 x)))^{2} (- 8 cos (cos (8 x)) sin (8 x))

Vereinfache

= - 24 sin^{2} (cos (8 x)) cos (cos (8 x)) sin (8 x)

Graph

Beliebte Beispiele

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\int cos^{2} (2 x) cos (2 x) d x

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\int 4^{k} d k

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derivative of 2x^3+15x^2-84x+10

\frac{d}{d x} (2 x^{3} + 15 x^{2} - 84 x + 10)