What is the derivative of (x^5/6) ?

The derivative of (x^5/6) is (5x^4)/6

What is the first derivative of (x^5/6) ?

The first derivative of (x^5/6) is (5x^4)/6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (\frac{x ^{5}}{6})

\frac{5 x ^{4}}{6}

Solution steps

\frac{d}{d x} (\frac{x ^{5}}{6})

Take the constant out:

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

= \frac{1}{6} \frac{d}{d x} (x^{5})

Apply the Power Rule:

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

= \frac{1}{6} \cdot 5 x^{5 - 1}

Simplify

\frac{1}{6} \cdot 5 x^{5 - 1} : \frac{5 x ^{4}}{6}

= \frac{5 x ^{4}}{6}

What is the derivative of (x^5/6) ?
The derivative of (x^5/6) is (5x^4)/6
What is the first derivative of (x^5/6) ?
The first derivative of (x^5/6) is (5x^4)/6