What is the derivative of 1/3*x^3 ?

The derivative of 1/3*x^3 is x^2

What is the first derivative of 1/3*x^3 ?

The first derivative of 1/3*x^3 is x^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

x^{2}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

= x^{2}

What is the derivative of 1/3*x^3 ?
The derivative of 1/3*x^3 is x^2
What is the first derivative of 1/3*x^3 ?
The first derivative of 1/3*x^3 is x^2