What is the derivative of 9x^{-2} ?

The derivative of 9x^{-2} is -(18)/(x^3)

What is the first derivative of 9x^{-2} ?

The first derivative of 9x^{-2} is -(18)/(x^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

9 x^{- 2}

- \frac{18}{x ^{3}}

Solution steps

\frac{d}{d x} (9 x^{- 2})

Take the constant out:

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

= 9 \frac{d}{d x} (x^{- 2})

Apply the Power Rule:

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

= 9 (- 2 x^{- 2 - 1})

Simplify

9 (- 2 x^{- 2 - 1}) : - \frac{18}{x ^{3}}

= - \frac{18}{x ^{3}}

What is the derivative of 9x^{-2} ?
The derivative of 9x^{-2} is -(18)/(x^3)
What is the first derivative of 9x^{-2} ?
The first derivative of 9x^{-2} is -(18)/(x^3)