What is the derivative of 1/2 x^{4/5} ?

The derivative of 1/2 x^{4/5} is 2/(5x^{1/5)}

What is the first derivative of 1/2 x^{4/5} ?

The first derivative of 1/2 x^{4/5} is 2/(5x^{1/5)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (\frac{1}{2} x^{\frac{4}{5}})

\frac{2}{5 x ^{\frac{1}{5}}}

Solution steps

\frac{d}{d x} (\frac{1}{2} x^{\frac{4}{5}})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{2} \frac{d}{d x} (x^{\frac{4}{5}})

Apply the Power Rule:

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

= \frac{1}{2} \cdot \frac{4}{5} x^{\frac{4}{5} - 1}

Simplify

\frac{1}{2} \cdot \frac{4}{5} x^{\frac{4}{5} - 1} : \frac{2}{5 x ^{\frac{1}{5}}}

= \frac{2}{5 x ^{\frac{1}{5}}}

x \to 3 - lim (3 + x)

\frac{d}{d x} (\frac{4}{e ^{x} + e ^{- x}})

\frac{d}{d x} (\frac{x + 2}{5 x ^{2} e ^{x}})

f (x) = 5 ln (x)

What is the derivative of 1/2 x^{4/5} ?
The derivative of 1/2 x^{4/5} is 2/(5x^{1/5)}
What is the first derivative of 1/2 x^{4/5} ?
The first derivative of 1/2 x^{4/5} is 2/(5x^{1/5)}