What is the derivative of 3x^{-2} ?

The derivative of 3x^{-2} is -6/(x^3)

What is the first derivative of 3x^{-2} ?

The first derivative of 3x^{-2} is -6/(x^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

3 x^{- 2}

- \frac{6}{x ^{3}}

Solution steps

\frac{d}{d x} (3 x^{- 2})

Take the constant out:

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

= 3 \frac{d}{d x} (x^{- 2})

Apply the Power Rule:

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

= 3 (- 2 x^{- 2 - 1})

Simplify

3 (- 2 x^{- 2 - 1}) : - \frac{6}{x ^{3}}

= - \frac{6}{x ^{3}}

(2 + x) y^{^{'}} = 7 y

\int (x + 1) sin (3 x) d x

\frac{s + 5}{s ^{2} + 4 s + 13}

\frac{d}{d x} (\frac{( x + 3 ) ( x + 1 )}{x ^{2} - 49})

\int_{0}^{1} x cos (π x) d x

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