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Beliebt Rechnen >

derivative cot^3(4x+1)

Lösung

ableitung von

cot^{3} (4 x + 1)

Lösung

- 12 cot^{2} (4 x + 1) csc^{2} (4 x + 1)

Schritte zur Lösung

\frac{d}{d x} (cot^{3} (4 x + 1))

Wende die Kettenregel an:

3 (cot (4 x + 1))^{2} \frac{d}{d x} (cot (4 x + 1))

= 3 (cot (4 x + 1))^{2} \frac{d}{d x} (cot (4 x + 1))

\frac{d}{d x} (cot (4 x + 1)) = - csc^{2} (4 x + 1) \cdot 4

= 3 (cot (4 x + 1))^{2} (- csc^{2} (4 x + 1) \cdot 4)

Vereinfache

= - 12 cot^{2} (4 x + 1) csc^{2} (4 x + 1)

Graph

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