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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

\frac{2}{x ^{2}}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Power Rule:

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

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

Simplify

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

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

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