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Beliebt Rechnen >

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

Lösung

ableitung von

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

Graph

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