en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x^{-1})^'

Solution

(x^{- 1})^{^{'}}

Solution

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

Solution steps

(x^{- 1})^{'}

Apply the Power Rule:

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

= - 1 \cdot x^{- 1 - 1}

Simplify

- 1 \cdot x^{- 1 - 1} : - \frac{1}{x ^{2}}

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

Graph

Popular Examples

derivative of (x-1)^2(x-1.05)^2 derivative of

(x - 1)^{2} (x - 1.05)^{2}

integral of x/(x^2-7x+12)

\int \frac{x}{x ^{2} - 7 x + 12} d x

limit as x approaches 1/2 of-4x+2

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

derivative of sqrt(3x-x^2)

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

integral from 0 to pi/(26) of tan(13x)

\int_{0}^{\frac{π}{26}} tan (13 x) d x

Frequently Asked Questions (FAQ)

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