What is the derivative of 20x^4 ?

The derivative of 20x^4 is 80x^3

What is the first derivative of 20x^4 ?

The first derivative of 20x^4 is 80x^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (20 x^{4})

80 x^{3}

Solution steps

\frac{d}{d x} (20 x^{4})

Take the constant out:

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

= 20 \frac{d}{d x} (x^{4})

Apply the Power Rule:

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

= 20 \cdot 4 x^{4 - 1}

Simplify

= 80 x^{3}