What is the derivative of 2x^{-6}+x^{-1} ?

The derivative of 2x^{-6}+x^{-1} is -(12)/(x^7)-1/(x^2)

What is the first derivative of 2x^{-6}+x^{-1} ?

The first derivative of 2x^{-6}+x^{-1} is -(12)/(x^7)-1/(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^{- 6} + x^{- 1})

- \frac{12}{x ^{7}} - \frac{1}{x ^{2}}

Solution steps

\frac{d}{d x} (2 x^{- 6} + x^{- 1})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (2 x^{- 6}) + \frac{d}{d x} (x^{- 1})

\frac{d}{d x} (2 x^{- 6}) = - \frac{12}{x ^{7}}

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

= - \frac{12}{x ^{7}} - \frac{1}{x ^{2}}

What is the derivative of 2x^{-6}+x^{-1} ?
The derivative of 2x^{-6}+x^{-1} is -(12)/(x^7)-1/(x^2)
What is the first derivative of 2x^{-6}+x^{-1} ?
The first derivative of 2x^{-6}+x^{-1} is -(12)/(x^7)-1/(x^2)