What is the derivative of sin^5(x) ?

The derivative of sin^5(x) is 5sin^4(x)cos(x)

What is the first derivative of sin^5(x) ?

The first derivative of sin^5(x) is 5sin^4(x)cos(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

sin^{5} (x)

5 sin^{4} (x) cos (x)

Solution steps

\frac{d}{d x} (sin^{5} (x))

Apply the chain rule:

5 (sin (x))^{4} \frac{d}{d x} (sin (x))

= 5 (sin (x))^{4} \frac{d}{d x} (sin (x))

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

= 5 (sin (x))^{4} cos (x)

Simplify

= 5 sin^{4} (x) cos (x)

What is the derivative of sin^5(x) ?
The derivative of sin^5(x) is 5sin^4(x)cos(x)
What is the first derivative of sin^5(x) ?
The first derivative of sin^5(x) is 5sin^4(x)cos(x)