What is (\partial)/(\partial x)(2/(x^3)) ?

The answer to (\partial)/(\partial x)(2/(x^3)) is -6/(x^4)

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(\partial)/(\partial x)(2/(x^3))

\frac{\partial}{\partial x} (\frac{2}{x ^{3}})

- \frac{6}{x ^{4}}

Solution steps

\frac{\partial}{\partial x} (\frac{2}{x ^{3}})

Take the constant out:

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

= 2 \frac{\partial}{\partial x} (\frac{1}{x ^{3}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 2 \frac{\partial}{\partial x} (x^{- 3})

Apply the Power Rule:

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

= 2 (- 3 x^{- 3 - 1})

Simplify

2 (- 3 x^{- 3 - 1}) : - \frac{6}{x ^{4}}

= - \frac{6}{x ^{4}}

\int \frac{4 x ^{2} - 9}{x} d x

x \to 2 lim (\frac{x ^{2} - 4}{2 - x})

\int e^{x} + 9 x d x

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

\frac{d}{d x} (sin^{2} (x) cot (5 x))

What is (\partial)/(\partial x)(2/(x^3)) ?
The answer to (\partial)/(\partial x)(2/(x^3)) is -6/(x^4)