What is the derivative of 2x^{1/3} ?

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

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

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

Solution steps

\frac{d}{d x} (2 x^{\frac{1}{3}})

Take the constant out:

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

= 2 \frac{d}{d x} (x^{\frac{1}{3}})

Apply the Power Rule:

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

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

Simplify

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

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

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