What is the derivative of (125+x)^{-1/3} ?

The derivative of (125+x)^{-1/3} is -1/(3(125+x)^{4/3)}

What is the first derivative of (125+x)^{-1/3} ?

The first derivative of (125+x)^{-1/3} is -1/(3(125+x)^{4/3)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

(125 + x)^{- \frac{1}{3}}

- \frac{1}{3 ( 125 + x ) ^{\frac{4}{3}}}

Solution steps

\frac{d}{d x} ((125 + x)^{- \frac{1}{3}})

Apply the chain rule:

- \frac{1}{3 ( 125 + x ) ^{\frac{4}{3}}} \frac{d}{d x} (125 + x)

= - \frac{1}{3 ( 125 + x ) ^{\frac{4}{3}}} \frac{d}{d x} (125 + x)

\frac{d}{d x} (125 + x) = 1

= - \frac{1}{3 ( 125 + x ) ^{\frac{4}{3}}} \cdot 1

Simplify

= - \frac{1}{3 ( 125 + x ) ^{\frac{4}{3}}}

y^{^{''}} + 2 y^{^{'}} + y = 14 e^{- t}

\int cos^{3} (3 x) d x

y^{^{'}} = \frac{y}{( x ^{2} + 1 ) x}

\frac{d}{d x} (\frac{20 x}{x ^{2} + 2})

x \to 3 lim (\frac{2}{x - 2})

What is the derivative of (125+x)^{-1/3} ?
The derivative of (125+x)^{-1/3} is -1/(3(125+x)^{4/3)}
What is the first derivative of (125+x)^{-1/3} ?
The first derivative of (125+x)^{-1/3} is -1/(3(125+x)^{4/3)}