What is (\partial)/(\partial x)(1/(x^2)) ?

The answer to (\partial)/(\partial x)(1/(x^2)) is -2/(x^3)

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(\partial)/(\partial x)(1/(x^2))

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

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

Solution steps

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

Apply exponent rule:

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

= \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}}

\frac{2}{( - 2 s + 10 )}

\frac{d}{d x} (f (x) (x))

\frac{d}{d x} (3 x^{2} - 2 x + 7)

x \to 2 lim ((x + 2)^{6} (3 x^{2}))

y^{^{''}} + 9 y = t^{2} e^{3} t + 6

What is (\partial)/(\partial x)(1/(x^2)) ?
The answer to (\partial)/(\partial x)(1/(x^2)) is -2/(x^3)