What is the derivative of (x-2^{-1}) ?

The derivative of (x-2^{-1}) is -1/((x-2)^2)

What is the first derivative of (x-2^{-1}) ?

The first derivative of (x-2^{-1}) is -1/((x-2)^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

\frac{d ^{2}}{d x ^{2}} (7 e^{- x^{2}})

\int \frac{x ^{2} + 2 x + 1}{2} sin (1.3 x) d x

\int_{1}^{e^{3}} x^{4} ln (x) d x

f (x) = ln (x e^{x} + 8)

7 x^{2} - y^{2} = 4

What is the derivative of (x-2^{-1}) ?
The derivative of (x-2^{-1}) is -1/((x-2)^2)
What is the first derivative of (x-2^{-1}) ?
The first derivative of (x-2^{-1}) is -1/((x-2)^2)