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Beliebt Rechnen >

derivative y=csc^2(x)

Lösung

ableitung von

y = csc^{2} (x)

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= 2 csc (x) (- cot (x) csc (x))

Vereinfache

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

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

Graph

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