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})

Take the constant out:

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

= - \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}}

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f (x) = tan (\frac{3 π}{4} x)

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