What is the derivative of 4/(x^2) ?

The derivative of 4/(x^2) is -8/(x^3)

What is the first derivative of 4/(x^2) ?

The first derivative of 4/(x^2) is -8/(x^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

\frac{4}{x ^{2}}

- \frac{8}{x ^{3}}

Solution steps

\frac{d}{d x} (\frac{4}{x ^{2}})

Take the constant out:

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

= 4 \frac{d}{d x} (\frac{1}{x ^{2}})

Apply exponent rule:

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

= 4 \frac{d}{d x} (x^{- 2})

Apply the Power Rule:

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

= 4 (- 2 x^{- 2 - 1})

Simplify

4 (- 2 x^{- 2 - 1}) : - \frac{8}{x ^{3}}

= - \frac{8}{x ^{3}}

\int \frac{( x - 95 )}{x ^{2} ( x + 5 )} d x

y^{^{'}} = (x - 3) (y + 1)^{(\frac{2}{3})}

x \to 2 + lim (e^{\frac{3}{2 - x}})

\frac{d}{d x} (\frac{x ^{3} + y ^{3}}{x ^{2} + y ^{2}})

\int 23

What is the derivative of 4/(x^2) ?
The derivative of 4/(x^2) is -8/(x^3)
What is the first derivative of 4/(x^2) ?
The first derivative of 4/(x^2) is -8/(x^3)