What is the derivative of \sqrt[7]{x^8} ?

The derivative of \sqrt[7]{x^8} is (8x^{1/7})/7

What is the first derivative of \sqrt[7]{x^8} ?

The first derivative of \sqrt[7]{x^8} is (8x^{1/7})/7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{8 x ^{\frac{1}{7}}}{7}

Solution steps

Apply the chain rule:

\frac{1}{7 ( x ^{8} ) ^{\frac{6}{7}}} \frac{d}{d x} (x^{8})

= \frac{1}{7 ( x ^{8} ) ^{\frac{6}{7}}} \frac{d}{d x} (x^{8})

\frac{d}{d x} (x^{8}) = 8 x^{7}

= \frac{1}{7 ( x ^{8} ) ^{\frac{6}{7}}} \cdot 8 x^{7}

Simplify

\frac{1}{7 ( x ^{8} ) ^{\frac{6}{7}}} \cdot 8 x^{7} : \frac{8 x ^{\frac{1}{7}}}{7}

= \frac{8 x ^{\frac{1}{7}}}{7}

\int ((x^{3}) ln (2 x)) d x

10 \frac{d y}{d x} + 20 y = 12

\frac{d}{d x} (\frac{x ^{3}}{9})

\int_{2}^{6} \frac{x}{x - 2} d x

x^{4} + 8 x^{2} - x

What is the derivative of \sqrt[7]{x^8} ?
The derivative of \sqrt[7]{x^8} is (8x^{1/7})/7
What is the first derivative of \sqrt[7]{x^8} ?
The first derivative of \sqrt[7]{x^8} is (8x^{1/7})/7