What is the derivative of 6x^{-4} ?

The derivative of 6x^{-4} is -(24)/(x^5)

What is the first derivative of 6x^{-4} ?

The first derivative of 6x^{-4} is -(24)/(x^5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

6 x^{- 4}

- \frac{24}{x ^{5}}

Solution steps

\frac{d}{d x} (6 x^{- 4})

Take the constant out:

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

= 6 \frac{d}{d x} (x^{- 4})

Apply the Power Rule:

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

= 6 (- 4 x^{- 4 - 1})

Simplify

6 (- 4 x^{- 4 - 1}) : - \frac{24}{x ^{5}}

= - \frac{24}{x ^{5}}

\frac{\partial}{\partial x} (5 y^{\frac{1}{4}} x^{\frac{1}{2}})

\int x^{3} 4 + x^{4} d x

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

x \to + (- 1) - lim (x^{2} + 1)

What is the derivative of 6x^{-4} ?
The derivative of 6x^{-4} is -(24)/(x^5)
What is the first derivative of 6x^{-4} ?
The first derivative of 6x^{-4} is -(24)/(x^5)