What is the derivative of 1/2 x^{-2} ?

The derivative of 1/2 x^{-2} is -1/(x^3)

What is the first derivative of 1/2 x^{-2} ?

The first derivative of 1/2 x^{-2} is -1/(x^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

- \frac{1}{x ^{3}}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

= - \frac{1}{x ^{3}}

\int x^{5} I n x d x

\frac{d}{d x} (lo g_{10} (\frac{x}{x + 1}))

x \to - 3 lim (f (x))

\int sec^{8} (x) tan (x) d x

\frac{d}{d x} (- x + 2)

What is the derivative of 1/2 x^{-2} ?
The derivative of 1/2 x^{-2} is -1/(x^3)
What is the first derivative of 1/2 x^{-2} ?
The first derivative of 1/2 x^{-2} is -1/(x^3)