What is the derivative of x^{-2} ?

The derivative of x^{-2} is -2/(x^3)

What is the first derivative of x^{-2} ?

The first derivative of x^{-2} is -2/(x^3)

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derivative of

x^{- 2}

- \frac{2}{x ^{3}}

Solution steps

\frac{d}{d x} (x^{- 2})

Apply the Power Rule:

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

= - 2 x^{- 2 - 1}

Simplify

- 2 x^{- 2 - 1} : - \frac{2}{x ^{3}}

= - \frac{2}{x ^{3}}

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What is the derivative of x^{-2} ?
The derivative of x^{-2} is -2/(x^3)
What is the first derivative of x^{-2} ?
The first derivative of x^{-2} is -2/(x^3)