What is (\partial)/(\partial y)((9y)/(x^5)) ?

The answer to (\partial)/(\partial y)((9y)/(x^5)) is 9/(x^5)

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(\partial)/(\partial y)((9y)/(x^5))

\frac{\partial}{\partial y} (\frac{9 y}{x ^{5}})

\frac{9}{x ^{5}}

Solution steps

\frac{\partial}{\partial y} (\frac{9 y}{x ^{5}})

Treat

x

as a constant

Take the constant out:

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

= \frac{9}{x ^{5}} \frac{\partial}{\partial y} (y)

Apply the common derivative:

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

= \frac{9}{x ^{5}} \cdot 1

Simplify

= \frac{9}{x ^{5}}

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What is (\partial)/(\partial y)((9y)/(x^5)) ?
The answer to (\partial)/(\partial y)((9y)/(x^5)) is 9/(x^5)