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Beliebt Rechnen >

derivative f(x)=cot^2(sin(x))

Lösung

ableitung von

f (x) = cot^{2} (sin (x))

Lösung

- 2 csc^{2} (sin (x)) cot (sin (x)) cos (x)

Schritte zur Lösung

\frac{d}{d x} (cot^{2} (sin (x)))

Wende die Kettenregel an:

2 cot (sin (x)) \frac{d}{d x} (cot (sin (x)))

= 2 cot (sin (x)) \frac{d}{d x} (cot (sin (x)))

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

= 2 cot (sin (x)) (- csc^{2} (sin (x)) cos (x))

Vereinfache

= - 2 csc^{2} (sin (x)) cot (sin (x)) cos (x)

Graph

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