What is the derivative of f(x)=x^{-6} ?

The derivative of f(x)=x^{-6} is -6/(x^7)

What is the first derivative of f(x)=x^{-6} ?

The first derivative of f(x)=x^{-6} is -6/(x^7)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

f (x) = x^{- 6}

- \frac{6}{x ^{7}}

Solution steps

\frac{d}{d x} (x^{- 6})

Apply the Power Rule:

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

= - 6 x^{- 6 - 1}

Simplify

- 6 x^{- 6 - 1} : - \frac{6}{x ^{7}}

= - \frac{6}{x ^{7}}

What is the derivative of f(x)=x^{-6} ?
The derivative of f(x)=x^{-6} is -6/(x^7)
What is the first derivative of f(x)=x^{-6} ?
The first derivative of f(x)=x^{-6} is -6/(x^7)