What is the derivative of sin^{23}(x) ?

The derivative of sin^{23}(x) is 23sin^{22}(x)cos(x)

What is the first derivative of sin^{23}(x) ?

The first derivative of sin^{23}(x) is 23sin^{22}(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^{23} (x)

23 sin^{22} (x) cos (x)

Solution steps

\frac{d}{d x} (sin^{23} (x))

Apply the chain rule:

23 (sin (x))^{22} \frac{d}{d x} (sin (x))

= 23 (sin (x))^{22} \frac{d}{d x} (sin (x))

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

= 23 (sin (x))^{22} cos (x)

Simplify

= 23 sin^{22} (x) cos (x)

cos^{2} (x^{3})

\frac{d}{d t} (12 + 8 t - 4 t^{2})

\frac{d}{d x} (+ 5 - 5 x^{- 1} + x^{2} + 3)

f (x) = - 2 x - 4

\frac{- 1}{( x - 2 ) ^{2}}

What is the derivative of sin^{23}(x) ?
The derivative of sin^{23}(x) is 23sin^{22}(x)cos(x)
What is the first derivative of sin^{23}(x) ?
The first derivative of sin^{23}(x) is 23sin^{22}(x)cos(x)