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Beliebt Rechnen >

derivative cot^2(pix)

Lösung

ableitung von

cot^{2} (π x)

Lösung

- 2 π csc^{2} (π x) cot (π x)

Schritte zur Lösung

\frac{d}{d x} (cot^{2} (π x))

Wende die Kettenregel an:

2 cot (π x) \frac{d}{d x} (cot (π x))

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

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

= 2 cot (π x) (- csc^{2} (π x) π)

Vereinfache

= - 2 π csc^{2} (π x) cot (π x)

Graph

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