What is the first d/(dy)(y/(x^2)) ?

The first d/(dy)(y/(x^2)) is 1/(x^2)

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d/(dy)(y/(x^2))

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

\frac{1}{x ^{2}}

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

= \frac{1}{x ^{2}} \frac{d y}{d y}

Apply the common derivative:

\frac{d y}{d y} = 1

= \frac{1}{x ^{2}} \cdot 1

Simplify

= \frac{1}{x ^{2}}

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