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

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

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

The first derivative of (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 >

\frac{d}{d 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}}}

\frac{d}{d x} (- \frac{ln ( 1 + 6 x )}{x})

\frac{d}{d x} (\frac{1}{x ( x - 1 )})

x \frac{d y}{d x} = 6 y

f (x) = 2 x^{2} + x - 3, at x = - 1

y^{^{'}} = (t + y)^{2}

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