What is the derivative of 1/(x^{1/3}) ?

The derivative of 1/(x^{1/3}) is -1/(3x^{4/3)}

What is the first derivative of 1/(x^{1/3}) ?

The first derivative of 1/(x^{1/3}) is -1/(3x^{4/3)}

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 ^{\frac{1}{3}}})

- \frac{1}{3 x ^{\frac{4}{3}}}

Solution steps

\frac{d}{d x} (\frac{1}{x ^{\frac{1}{3}}})

Apply exponent rule:

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

= \frac{d}{d x} (x^{- \frac{1}{3}})

Apply the Power Rule:

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

= - \frac{1}{3} x^{- \frac{1}{3} - 1}

Simplify

- \frac{1}{3} x^{- \frac{1}{3} - 1} : - \frac{1}{3 x ^{\frac{4}{3}}}

= - \frac{1}{3 x ^{\frac{4}{3}}}

\int z^{2} sin (x) d x

y^{^{''''}} + y = 0

\frac{d y}{d x} = \frac{y ^{2}}{2 x + 3}

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

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

What is the derivative of 1/(x^{1/3}) ?
The derivative of 1/(x^{1/3}) is -1/(3x^{4/3)}
What is the first derivative of 1/(x^{1/3}) ?
The first derivative of 1/(x^{1/3}) is -1/(3x^{4/3)}