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Popular >

derivative of y=cot^2(sin(x))

Solution

derivative of

y = cot^{2} (sin (x))

Solution

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

Solution steps

\frac{d}{d x} (cot^{2} (sin (x)))

Apply the chain rule:

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

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

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

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

Simplify

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

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Frequently Asked Questions (FAQ)

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