What is the derivative of f(x)=\sqrt[5]{x} ?

The derivative of f(x)=\sqrt[5]{x} is 1/(5x^{4/5)}

What is the first derivative of f(x)=\sqrt[5]{x} ?

The first derivative of f(x)=\sqrt[5]{x} is 1/(5x^{4/5)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

\frac{1}{5 x ^{\frac{4}{5}}}

Solution steps

Apply radical rule:

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

Apply the Power Rule:

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

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

Simplify

\frac{1}{5} x^{\frac{1}{5} - 1} : \frac{1}{5 x ^{\frac{4}{5}}}

= \frac{1}{5 x ^{\frac{4}{5}}}

\frac{d y}{d x} - x y = 0

\frac{d y}{d x} = 2 cos (x) y^{3}

\int_{- 2}^{3} \frac{47}{x ^{4}} d x

\frac{\partial}{\partial t} (ln (t^{2} + 1))

\frac{1}{6 x}

What is the derivative of f(x)=\sqrt[5]{x} ?
The derivative of f(x)=\sqrt[5]{x} is 1/(5x^{4/5)}
What is the first derivative of f(x)=\sqrt[5]{x} ?
The first derivative of f(x)=\sqrt[5]{x} is 1/(5x^{4/5)}