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

The derivative of-x^{-3} is 3/(x^4)

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

The first derivative of-x^{-3} is 3/(x^4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

\frac{3}{x ^{4}}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

= \frac{3}{x ^{4}}

\int - \frac{x + 1}{x} d x

4 y^{^{''}} - 4 y^{^{'}} - 3 y = 0

\frac{d y}{d x}, y^{2} = 2 x

\frac{d}{d x} (10 x^{3})

\int a^{2} - r^{2} r d r

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