What is the first derivative of 2x^3 ?

The first derivative of 2x^3 is 6x^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of 2x^3

derivative

6 x^{2}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 6 x^{2}