What is the derivative of (x^6/(x^2)) ?

The derivative of (x^6/(x^2)) is 4x^3

What is the first derivative of (x^6/(x^2)) ?

The first derivative of (x^6/(x^2)) is 4x^3

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 ^{6}}{x ^{2}})

4 x^{3}

Solution steps

\frac{d}{d x} (\frac{x ^{6}}{x ^{2}})

Simplify

\frac{x ^{6}}{x ^{2}} : x^{4}

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

Apply the Power Rule:

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

= 4 x^{4 - 1}

Simplify

= 4 x^{3}

What is the derivative of (x^6/(x^2)) ?
The derivative of (x^6/(x^2)) is 4x^3
What is the first derivative of (x^6/(x^2)) ?
The first derivative of (x^6/(x^2)) is 4x^3