What is the derivative of 4cos(cos(x)) ?

The derivative of 4cos(cos(x)) is 4sin(cos(x))sin(x)

What is the first derivative of 4cos(cos(x)) ?

The first derivative of 4cos(cos(x)) is 4sin(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

4 cos (cos (x))

4 sin (cos (x)) sin (x)

Solution steps

\frac{d}{d x} (4 cos (cos (x)))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 4 \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)

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

Simplify

= 4 sin (cos (x)) sin (x)

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