What is (\partial)/(\partial y)(e^{5xy}) ?

The answer to (\partial)/(\partial y)(e^{5xy}) is e^{5xy}*5x

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(\partial)/(\partial y)(e^{5xy})

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

e^{5 x y} \cdot 5 x

Solution steps

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

Treat

x

as a constant

Apply the chain rule:

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

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

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

= e^{5 x y} \cdot 5 x

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What is (\partial)/(\partial y)(e^{5xy}) ?
The answer to (\partial)/(\partial y)(e^{5xy}) is e^{5xy}*5x