What is the derivative of (x-3)^{-2} ?

The derivative of (x-3)^{-2} is -2/((x-3)^3)

What is the first derivative of (x-3)^{-2} ?

The first derivative of (x-3)^{-2} is -2/((x-3)^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

(x - 3)^{- 2}

- \frac{2}{( x - 3 ) ^{3}}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (x - 3) = 1

= - \frac{2}{( x - 3 ) ^{3}} \cdot 1

Simplify

= - \frac{2}{( x - 3 ) ^{3}}

\frac{d y}{d x} = \frac{e ^{x}}{y ^{2}}

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

\int tan^{6} (x) d x

\int_{1}^{32} x^{- \frac{11}{5}} d x

x \to - 1 lim ((6 + 4 x)^{2 x})

What is the derivative of (x-3)^{-2} ?
The derivative of (x-3)^{-2} is -2/((x-3)^3)
What is the first derivative of (x-3)^{-2} ?
The first derivative of (x-3)^{-2} is -2/((x-3)^3)