What is the derivative of cos(cos(x)) ?

The derivative of cos(cos(x)) is sin(cos(x))sin(x)

What is the first derivative of cos(cos(x)) ?

The first derivative of cos(cos(x)) is sin(cos(x))sin(x)

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derivative of

cos (cos (x))

sin (cos (x)) sin (x)

Solution steps

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

Apply the chain rule:

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

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

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

= - sin (cos (x)) (- sin (x))

Simplify

= sin (cos (x)) sin (x)

\int 4 - x^{2} d x

\int \frac{45}{x + 1} d x

(\frac{y}{x} + 9 x) d x + (ln (x) - 4) d y = 0, x > 0

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

\int_{0}^{3} \frac{x ^{2} - 5}{x + 2} d x

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