What is the first d/(dy)(y^{-2}) ?

The first d/(dy)(y^{-2}) is -2/(y^3)

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d/(dy)(y^{-2})

\frac{d}{d y} (y^{- 2})

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

Solution steps

\frac{d}{d y} (y^{- 2})

Apply the Power Rule:

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

= - 2 y^{- 2 - 1}

Simplify

- 2 y^{- 2 - 1} : - \frac{2}{y ^{3}}

= - \frac{2}{y ^{3}}

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