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Beliebt Rechnen >

d/(dθ)(cot^2(sin(θ)))

Lösung

\frac{d}{d θ} (cot^{2} (sin (θ)))

Lösung

- 2 csc^{2} (sin (θ)) cot (sin (θ)) cos (θ)

Schritte zur Lösung

\frac{d}{d θ} (cot^{2} (sin (θ)))

Wende die Kettenregel an:

2 cot (sin (θ)) \frac{d}{d θ} (cot (sin (θ)))

= 2 cot (sin (θ)) \frac{d}{d θ} (cot (sin (θ)))

\frac{d}{d θ} (cot (sin (θ))) = - csc^{2} (sin (θ)) cos (θ)

= 2 cot (sin (θ)) (- csc^{2} (sin (θ)) cos (θ))

Vereinfache

= - 2 csc^{2} (sin (θ)) cot (sin (θ)) cos (θ)

Graph

Beliebte Beispiele

d/(dt)(e^{4t}cos(t))

\frac{d}{d t} (e^{4 t} cos (t))

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x \to 5 lim (2 x - 5)

(dy)/(dt)=(1+t)(1+y)

\frac{d y}{d t} = (1 + t) (1 + y)