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Popular >

derivative of cos(sin^2(x-2))

Solution

derivative of

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

Solution

- sin (sin^{2} (x - 2)) sin (2 (- 2 + x))

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (sin^{2} (x - 2)) = sin (2 (- 2 + x))

= - sin (sin^{2} (x - 2)) sin (2 (- 2 + x))

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Frequently Asked Questions (FAQ)

What is the derivative of cos(sin^2(x-2)) ?
The derivative of cos(sin^2(x-2)) is -sin(sin^2(x-2))sin(2(-2+x))
What is the first derivative of cos(sin^2(x-2)) ?
The first derivative of cos(sin^2(x-2)) is -sin(sin^2(x-2))sin(2(-2+x))