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Beliebt Rechnen >

derivative sin^8(cos(2x))

Lösung

ableitung von

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

Lösung

- 16 sin^{7} (cos (2 x)) cos (cos (2 x)) sin (2 x)

Schritte zur Lösung

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

Wende die Kettenregel an:

8 (sin (cos (2 x)))^{7} \frac{d}{d x} (sin (cos (2 x)))

= 8 (sin (cos (2 x)))^{7} \frac{d}{d x} (sin (cos (2 x)))

\frac{d}{d x} (sin (cos (2 x))) = - 2 cos (cos (2 x)) sin (2 x)

= 8 (sin (cos (2 x)))^{7} (- 2 cos (cos (2 x)) sin (2 x))

Vereinfache

= - 16 sin^{7} (cos (2 x)) cos (cos (2 x)) sin (2 x)

Graph

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