What is the derivative of cx^{-4} ?

The derivative of cx^{-4} is -(4c)/(x^5)

What is the first derivative of cx^{-4} ?

The first derivative of cx^{-4} is -(4c)/(x^5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (c x^{- 4})

- \frac{4 c}{x ^{5}}

Solution steps

\frac{d}{d x} (c x^{- 4})

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

c (- 4 x^{- 4 - 1}) : - \frac{4 c}{x ^{5}}

= - \frac{4 c}{x ^{5}}

What is the derivative of cx^{-4} ?
The derivative of cx^{-4} is -(4c)/(x^5)
What is the first derivative of cx^{-4} ?
The first derivative of cx^{-4} is -(4c)/(x^5)