What is (\partial)/(\partial x)(7/(x^3)) ?

The answer to (\partial)/(\partial x)(7/(x^3)) is -(21)/(x^4)

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(\partial)/(\partial x)(7/(x^3))

\frac{\partial}{\partial x} (\frac{7}{x ^{3}})

- \frac{21}{x ^{4}}

Solution steps

\frac{\partial}{\partial x} (\frac{7}{x ^{3}})

Take the constant out:

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

= 7 \frac{\partial}{\partial x} (\frac{1}{x ^{3}})

Apply exponent rule:

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

= 7 \frac{\partial}{\partial x} (x^{- 3})

Apply the Power Rule:

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

= 7 (- 3 x^{- 3 - 1})

Simplify

7 (- 3 x^{- 3 - 1}) : - \frac{21}{x ^{4}}

= - \frac{21}{x ^{4}}

\frac{d}{d x} (\frac{π x}{2})

\int (sin^{3} (x) cos (x)) d x

\int e^{- \frac{2 r}{a}} r^{2} d r

f (x) = x^{3}, at - 5

\int - x sin (n x) d x

What is (\partial)/(\partial x)(7/(x^3)) ?
The answer to (\partial)/(\partial x)(7/(x^3)) is -(21)/(x^4)