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)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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}{d x} (ln (24 x))

\int (1 + cot^{2} (θ)) (csc^{2} (θ)) d θ

y^{^{''}} + 2 y^{^{'}} + y = 1

y^{^{''}} - y^{^{'}} + 9 y = 3 sin (3 t)

\frac{d}{d t} (t^{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)