en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of (1-2x^{-1})

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Graph

Popular Examples

integral of (sec(3x)+csc(3x))^2

\int (sec (3 x) + csc (3 x))^{2} d x

integral of (x^2-4)/(x^3-3x^2-x+3)

\int \frac{x ^{2} - 4}{x ^{3} - 3 x ^{2} - x + 3} d x

integral of x/(\sqrt[3]{x^2+9)}

\int \frac{x}{3 x ^{2} + 9} d x

derivative of (4-t)(4+t^3)^{-1}derivative of

(4 - t) (4 + t^{3})^{- 1}

(\partial)/(\partial y)(4/3 pi(x^3-y^3))

\frac{\partial}{\partial y} (\frac{4}{3} π (x^{3} - y^{3}))

Frequently Asked Questions (FAQ)

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