What is the derivative of (x+2)^{-4} ?

The derivative of (x+2)^{-4} is -4/((x+2)^5)

What is the first derivative of (x+2)^{-4} ?

The first derivative of (x+2)^{-4} is -4/((x+2)^5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

(x + 2)^{- 4}

- \frac{4}{( x + 2 ) ^{5}}

Solution steps

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

Apply the chain rule:

- \frac{4}{( x + 2 ) ^{5}} \frac{d}{d x} (x + 2)

= - \frac{4}{( x + 2 ) ^{5}} \frac{d}{d x} (x + 2)

\frac{d}{d x} (x + 2) = 1

= - \frac{4}{( x + 2 ) ^{5}} \cdot 1

Simplify

= - \frac{4}{( x + 2 ) ^{5}}

What is the derivative of (x+2)^{-4} ?
The derivative of (x+2)^{-4} is -4/((x+2)^5)
What is the first derivative of (x+2)^{-4} ?
The first derivative of (x+2)^{-4} is -4/((x+2)^5)