What is the derivative of \sqrt[6]{x^5} ?

The derivative of \sqrt[6]{x^5} is 5/(6x^{1/6)}

What is the first derivative of \sqrt[6]{x^5} ?

The first derivative of \sqrt[6]{x^5} is 5/(6x^{1/6)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{5}{6 x ^{\frac{1}{6}}}

Solution steps

Apply the chain rule:

\frac{1}{6 ( x ^{5} ) ^{\frac{5}{6}}} \frac{d}{d x} (x^{5})

= \frac{1}{6 ( x ^{5} ) ^{\frac{5}{6}}} \frac{d}{d x} (x^{5})

\frac{d}{d x} (x^{5}) = 5 x^{4}

= \frac{1}{6 ( x ^{5} ) ^{\frac{5}{6}}} \cdot 5 x^{4}

Simplify

\frac{1}{6 ( x ^{5} ) ^{\frac{5}{6}}} \cdot 5 x^{4} : \frac{5}{6 x ^{\frac{1}{6}}}

= \frac{5}{6 x ^{\frac{1}{6}}}

n = 0 \sum \infty \frac{e ^{n}}{n}

\frac{d y}{d x} = 0.5 y + x

\int \frac{8 x ^{3}}{x ^{4} + 5} d x

What is the derivative of \sqrt[6]{x^5} ?
The derivative of \sqrt[6]{x^5} is 5/(6x^{1/6)}
What is the first derivative of \sqrt[6]{x^5} ?
The first derivative of \sqrt[6]{x^5} is 5/(6x^{1/6)}