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

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

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

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

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

Solution steps

\frac{\partial}{\partial 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{\partial}{\partial y} (y)

Apply the common derivative:

\frac{\partial}{\partial y} (y) = 1

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

Simplify

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

(5.5) (0.4)

\frac{2}{( s ^{2} + 4 )}

y = x, y = 2 x 1 - x^{2}

\frac{d}{d x} (e^{x} sin (x^{2}))

\frac{d}{d x} (2 x + sin (2 x))

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