What is (\partial)/(\partial x)(3/(x^2)) ?

The answer to (\partial)/(\partial x)(3/(x^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 >

(\partial)/(\partial x)(3/(x^2))

\frac{\partial}{\partial x} (\frac{3}{x ^{2}})

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

Solution steps

\frac{\partial}{\partial x} (\frac{3}{x ^{2}})

Take the constant out:

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

= 3 \frac{\partial}{\partial x} (\frac{1}{x ^{2}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 3 \frac{\partial}{\partial 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}}

\int sin^{8} (x) cos (x) d x

\frac{\partial}{\partial x} (2 arctan (x))

\int \frac{x ^{2} + 8 x - 3}{x ^{3} + 3 x ^{2}} d x

\int \frac{1}{100 - t} d t

\int \frac{1}{x ^{2} - 8 x + 16} d x

What is (\partial)/(\partial x)(3/(x^2)) ?
The answer to (\partial)/(\partial x)(3/(x^2)) is -6/(x^3)