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Beliebt Rechnen >

derivative cot^4(x)

Lösung

ableitung von

cot^{4} (x)

Lösung

- 4 cot^{3} (x) csc^{2} (x)

Schritte zur Lösung

\frac{d}{d x} (cot^{4} (x))

Wende die Kettenregel an:

4 (cot (x))^{3} \frac{d}{d x} (cot (x))

= 4 (cot (x))^{3} \frac{d}{d x} (cot (x))

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

= 4 (cot (x))^{3} (- csc^{2} (x))

Vereinfache

= - 4 cot^{3} (x) csc^{2} (x)

Graph

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