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

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

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

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

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derivative of

f (x) = 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)

\frac{d ^{4}}{d x ^{4}} (\frac{1}{x})

n = 0 \sum \infty (n + 1) e^{- n}

\frac{d}{d x} (2^{3^{x}})

x \to 1 lim (\frac{2 x}{x ^{2} - 1})

arctan (2 t)

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