What is (\partial)/(\partial x)(-1/(x^2)) ?

The answer to (\partial)/(\partial x)(-1/(x^2)) is 2/(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)(-1/(x^2))

\frac{\partial}{\partial x} (- \frac{1}{x ^{2}})

\frac{2}{x ^{3}}

Solution steps

\frac{\partial}{\partial x} (- \frac{1}{x ^{2}})

Take the constant out:

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

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

Apply exponent rule:

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

= - \frac{\partial}{\partial x} (x^{- 2})

Apply the Power Rule:

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

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

Simplify

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

= \frac{2}{x ^{3}}

\frac{d y}{d x} = (x + y - 5)^{2}

\int 1 + y^{2} d y

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

\frac{( x ^{4} + 1 )}{e ^{x} + 2 x + 1}

12 x^{3} - 24 x^{2}

What is (\partial)/(\partial x)(-1/(x^2)) ?
The answer to (\partial)/(\partial x)(-1/(x^2)) is 2/(x^3)