What is the derivative of f(x)=x^{2/3} ?

The derivative of f(x)=x^{2/3} is 2/(3x^{1/3)}

What is the first derivative of f(x)=x^{2/3} ?

The first derivative of f(x)=x^{2/3} is 2/(3x^{1/3)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative

\frac{2}{3 x ^{\frac{1}{3}}}

Solution steps

\frac{d}{d x} (x^{\frac{2}{3}})

Apply the Power Rule:

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

= \frac{2}{3} x^{\frac{2}{3} - 1}

Simplify

\frac{2}{3} x^{\frac{2}{3} - 1} : \frac{2}{3 x ^{\frac{1}{3}}}

= \frac{2}{3 x ^{\frac{1}{3}}}

What is the derivative of f(x)=x^{2/3} ?
The derivative of f(x)=x^{2/3} is 2/(3x^{1/3)}
What is the first derivative of f(x)=x^{2/3} ?
The first derivative of f(x)=x^{2/3} is 2/(3x^{1/3)}