What is the derivative of 1/5 x^5 ?

The derivative of 1/5 x^5 is x^4

What is the first derivative of 1/5 x^5 ?

The first derivative of 1/5 x^5 is x^4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

\frac{1}{5} x^{5}

x^{4}

Solution steps

\frac{d}{d x} (\frac{1}{5} x^{5})

Take the constant out:

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

= \frac{1}{5} \frac{d}{d x} (x^{5})

Apply the Power Rule:

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

= \frac{1}{5} \cdot 5 x^{5 - 1}

Simplify

\frac{1}{5} \cdot 5 x^{5 - 1} : x^{4}

= x^{4}

What is the derivative of 1/5 x^5 ?
The derivative of 1/5 x^5 is x^4
What is the first derivative of 1/5 x^5 ?
The first derivative of 1/5 x^5 is x^4