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

The derivative of y=x^{-4} is -4/(x^5)

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

The first derivative of y=x^{-4} is -4/(x^5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

y = x^{- 4}

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

Solution steps

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

Apply the Power Rule:

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

= - 4 x^{- 4 - 1}

Simplify

- 4 x^{- 4 - 1} : - \frac{4}{x ^{5}}

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

\int x^{3} - 5 x d x

e^{x y} + y = x - 1

\frac{x}{x ^{2} + 4}

\frac{\partial}{\partial x} (3 e^{x - y})

\int_{6}^{8} \frac{52}{( x - 6 ) ^{3}} d x

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