What is the derivative of sin^8(x) ?

The derivative of sin^8(x) is 8sin^7(x)cos(x)

What is the first derivative of sin^8(x) ?

The first derivative of sin^8(x) is 8sin^7(x)cos(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

sin^{8} (x)

8 sin^{7} (x) cos (x)

Solution steps

\frac{d}{d x} (sin^{8} (x))

Apply the chain rule:

8 (sin (x))^{7} \frac{d}{d x} (sin (x))

= 8 (sin (x))^{7} \frac{d}{d x} (sin (x))

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

= 8 (sin (x))^{7} cos (x)

Simplify

= 8 sin^{7} (x) cos (x)

\int \frac{e ^{2 x}}{4} d x

\frac{\partial}{\partial x} (x y^{2} e^{3 x^{2} y - y^{2}})

\frac{d}{d x} (3 e^{2})

\frac{( x + x )}{x ^{2}}

\int x^{3} x^{2} + 20 d x

What is the derivative of sin^8(x) ?
The derivative of sin^8(x) is 8sin^7(x)cos(x)
What is the first derivative of sin^8(x) ?
The first derivative of sin^8(x) is 8sin^7(x)cos(x)