en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of \sqrt[7]{x^2}

Solution

Solution

\frac{2}{7 x ^{\frac{5}{7}}}

Solution steps

Apply the chain rule:

\frac{1}{7 ( x ^{2} ) ^{\frac{6}{7}}} \frac{d}{d x} (x^{2})

= \frac{1}{7 ( x ^{2} ) ^{\frac{6}{7}}} \frac{d}{d x} (x^{2})

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

= \frac{1}{7 ( x ^{2} ) ^{\frac{6}{7}}} \cdot 2 x

Simplify

\frac{1}{7 ( x ^{2} ) ^{\frac{6}{7}}} \cdot 2 x : \frac{2}{7 x ^{\frac{5}{7}}}

= \frac{2}{7 x ^{\frac{5}{7}}}

Popular Examples

integral of e^{-ln(x)}(1-1/x)

\int e^{- l n (x)} (1 - \frac{1}{x}) d x

derivative of 9e^x+x derivative of

9 e^{x} + x

derivative of ln((x-1/(x+1)))

\frac{d}{d x} (ln (\frac{x - 1}{x + 1}))

(x^2+1)(dy)/(dx)+2xy-x=0

(x^{2} + 1) \frac{d y}{d x} + 2 x y - x = 0

limit as x approaches-2 of (x^2+8)/(x+2)

x \to - 2 lim (\frac{x ^{2} + 8}{x + 2})

Frequently Asked Questions (FAQ)

What is the derivative of \sqrt[7]{x^2} ?
The derivative of \sqrt[7]{x^2} is 2/(7x^{5/7)}
What is the first derivative of \sqrt[7]{x^2} ?
The first derivative of \sqrt[7]{x^2} is 2/(7x^{5/7)}