What is the derivative of y=7x^{-3} ?

The derivative of y=7x^{-3} is -(21)/(x^4)

What is the first derivative of y=7x^{-3} ?

The first derivative of y=7x^{-3} is -(21)/(x^4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

y = 7 x^{- 3}

- \frac{21}{x ^{4}}

Solution steps

\frac{d}{d x} (7 x^{- 3})

Take the constant out:

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

= 7 \frac{d}{d x} (x^{- 3})

Apply the Power Rule:

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

= 7 (- 3 x^{- 3 - 1})

Simplify

7 (- 3 x^{- 3 - 1}) : - \frac{21}{x ^{4}}

= - \frac{21}{x ^{4}}

What is the derivative of y=7x^{-3} ?
The derivative of y=7x^{-3} is -(21)/(x^4)
What is the first derivative of y=7x^{-3} ?
The first derivative of y=7x^{-3} is -(21)/(x^4)