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Beliebt Rechnen >

derivative csc^3(x)

Lösung

ableitung von

csc^{3} (x)

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (csc^{3} (x))

Wende die Kettenregel an:

3 (csc (x))^{2} \frac{d}{d x} (csc (x))

= 3 (csc (x))^{2} \frac{d}{d x} (csc (x))

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

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

Vereinfache

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

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

Graph

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