What is the derivative of f(x)=(x^{12})/(x^2) ?

The derivative of f(x)=(x^{12})/(x^2) is 10x^9

What is the first derivative of f(x)=(x^{12})/(x^2) ?

The first derivative of f(x)=(x^{12})/(x^2) is 10x^9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

f (x) = \frac{x ^{12}}{x ^{2}}

10 x^{9}

Solution steps

\frac{d}{d x} (\frac{x ^{12}}{x ^{2}})

Simplify

\frac{x ^{12}}{x ^{2}} : x^{10}

= \frac{d}{d x} (x^{10})

Apply the Power Rule:

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

= 10 x^{10 - 1}

Simplify

= 10 x^{9}

What is the derivative of f(x)=(x^{12})/(x^2) ?
The derivative of f(x)=(x^{12})/(x^2) is 10x^9
What is the first derivative of f(x)=(x^{12})/(x^2) ?
The first derivative of f(x)=(x^{12})/(x^2) is 10x^9