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Beliebt Rechnen >

derivative of cos^2(sin(4x))

Lösung

\frac{d}{d x} (cos^{2} (sin (4 x)))

Lösung

- 8 cos (sin (4 x)) sin (sin (4 x)) cos (4 x)

Schritte zur Lösung

\frac{d}{d x} (cos^{2} (sin (4 x)))

Wende die Kettenregel an:

2 cos (sin (4 x)) \frac{d}{d x} (cos (sin (4 x)))

= 2 cos (sin (4 x)) \frac{d}{d x} (cos (sin (4 x)))

\frac{d}{d x} (cos (sin (4 x))) = - sin (sin (4 x)) cos (4 x) \cdot 4

= 2 cos (sin (4 x)) (- sin (sin (4 x)) cos (4 x) \cdot 4)

Vereinfache

= - 8 cos (sin (4 x)) sin (sin (4 x)) cos (4 x)

Graph

Beliebte Beispiele

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