What is the derivative of cos(sin^2(x)) ?

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

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

The first derivative of cos(sin^2(x)) is -sin(sin^2(x))sin(2x)

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

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