What is (\partial)/(\partial x)(x^{-2}) ?

The answer to (\partial)/(\partial x)(x^{-2}) is -2/(x^3)

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(\partial)/(\partial x)(x^{-2})

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

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

Solution steps

\frac{\partial}{\partial 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}}

\int x^{- 0.9} d x

(1 - x) e^{x + \frac{x ^{2}}{2} + \frac{x ^{3}}{3}}

\int sin (ln (u)) d u

y^{^{''}} - y = 5 sin (2 t) (0) 1

\frac{1}{2 + 3 x}

What is (\partial)/(\partial x)(x^{-2}) ?
The answer to (\partial)/(\partial x)(x^{-2}) is -2/(x^3)