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

The derivative of f(x)=cos^2(2x) is -2sin(4x)

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

The first derivative of f(x)=cos^2(2x) is -2sin(4x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

f (x) = cos^{2} (2 x)

- 2 sin (4 x)

Solution steps

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

Apply the chain rule:

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

= 2 cos (2 x) \frac{d}{d x} (cos (2 x))

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

= 2 cos (2 x) (- sin (2 x) \cdot 2)

Simplify

2 cos (2 x) (- sin (2 x) \cdot 2) : - 2 sin (4 x)

= - 2 sin (4 x)

What is the derivative of f(x)=cos^2(2x) ?
The derivative of f(x)=cos^2(2x) is -2sin(4x)
What is the first derivative of f(x)=cos^2(2x) ?
The first derivative of f(x)=cos^2(2x) is -2sin(4x)