What is the derivative of 1/(x^{20}) ?

The derivative of 1/(x^{20}) is -(20)/(x^{21)}

What is the first derivative of 1/(x^{20}) ?

The first derivative of 1/(x^{20}) is -(20)/(x^{21)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (\frac{1}{x ^{20}})

- \frac{20}{x ^{21}}

Solution steps

\frac{d}{d x} (\frac{1}{x ^{20}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= \frac{d}{d x} (x^{- 20})

Apply the Power Rule:

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

= - 20 x^{- 20 - 1}

Simplify

- 20 x^{- 20 - 1} : - \frac{20}{x ^{21}}

= - \frac{20}{x ^{21}}

\frac{d}{d x} (- \frac{12}{x ^{3}})

\int \frac{1}{2} t cos (4) t^{2} d t

\frac{d}{d y} (y + 1)

\int 6 x + 5 d x

\frac{4}{s} + \frac{6}{s ^{5}} - \frac{1}{s + 8}

What is the derivative of 1/(x^{20}) ?
The derivative of 1/(x^{20}) is -(20)/(x^{21)}
What is the first derivative of 1/(x^{20}) ?
The first derivative of 1/(x^{20}) is -(20)/(x^{21)}