What is the derivative of cos^4(2x) ?

The derivative of cos^4(2x) is -8cos^3(2x)sin(2x)

What is the first derivative of cos^4(2x) ?

The first derivative of cos^4(2x) is -8cos^3(2x)sin(2x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (cos^{4} (2 x))

- 8 cos^{3} (2 x) sin (2 x)

Solution steps

\frac{d}{d x} (cos^{4} (2 x))

Apply the chain rule:

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

= 4 (cos (2 x))^{3} \frac{d}{d x} (cos (2 x))

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

= 4 (cos (2 x))^{3} (- sin (2 x) \cdot 2)

Simplify

= - 8 cos^{3} (2 x) sin (2 x)

\int \frac{x}{x ^{2} - 6} d x

\frac{d}{d x} (\frac{4 - 3 x - x ^{2}}{x ^{2} - 1})

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

\frac{d h}{d t} = 5 h

1 + x^{2} d y - 1 - y^{2} d x = 0

What is the derivative of cos^4(2x) ?
The derivative of cos^4(2x) is -8cos^3(2x)sin(2x)
What is the first derivative of cos^4(2x) ?
The first derivative of cos^4(2x) is -8cos^3(2x)sin(2x)