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Popular >

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

Solution

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

Solution

- 4 cos (sin (2 x)) sin (sin (2 x)) cos (2 x)

Solution steps

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

Apply the chain rule:

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

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

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

= 2 cos (sin (2 x)) (- sin (sin (2 x)) cos (2 x) \cdot 2)

Simplify

= - 4 cos (sin (2 x)) sin (sin (2 x)) cos (2 x)

Graph

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\int \frac{ln ( x ) - 2}{x ln ( x ) ( ln ( x ) - 1 )} d x

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\int sin (x) ln (x) cos (x) d x

laplacetransform e^{mt}laplace transform

e^{m t}

Frequently Asked Questions (FAQ)

What is the derivative of cos^2(sin(2x)) ?
The derivative of cos^2(sin(2x)) is -4cos(sin(2x))sin(sin(2x))cos(2x)
What is the first derivative of cos^2(sin(2x)) ?
The first derivative of cos^2(sin(2x)) is -4cos(sin(2x))sin(sin(2x))cos(2x)