What is (\partial)/(\partial x)(x^{-3}) ?

The answer to (\partial)/(\partial x)(x^{-3}) is -3/(x^4)

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(\partial)/(\partial x)(x^{-3})

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

- \frac{3}{x ^{4}}

Solution steps

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

Apply the Power Rule:

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

= - 3 x^{- 3 - 1}

Simplify

- 3 x^{- 3 - 1} : - \frac{3}{x ^{4}}

= - \frac{3}{x ^{4}}

x \to - 1 lim (4 x^{2} - 8 x + 3)

\int e^{- x} cos (3 x) d x

7 t \cdot \frac{d y}{d t} - y = t

x \to 4 + lim (e^{4 - x})

f (x) = arcsin (6 x)

What is (\partial)/(\partial x)(x^{-3}) ?
The answer to (\partial)/(\partial x)(x^{-3}) is -3/(x^4)