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Popular >

derivative of cot^2(sin(θ))

Solution

derivative of

cot^{2} (sin (θ))

Solution

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

Solution steps

\frac{d}{d θ} (cot^{2} (sin (θ)))

Apply the chain rule:

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))

Simplify

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

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Frequently Asked Questions (FAQ)

What is the derivative of cot^2(sin(θ)) ?
The derivative of cot^2(sin(θ)) is -2csc^2(sin(θ))cot(sin(θ))cos(θ)
What is the first derivative of cot^2(sin(θ)) ?
The first derivative of cot^2(sin(θ)) is -2csc^2(sin(θ))cot(sin(θ))cos(θ)