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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = x^{\frac{1}{3}}

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

Solution steps

\frac{d}{d x} (x^{\frac{1}{3}})

Apply the Power Rule:

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

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

Simplify

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

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

(x + 1) \frac{d y}{d x} = x

3 t^{2} + 3 t - 2

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

(0.2) (4.3)

\int 2 x - 3 e^{x} d x

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