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

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

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

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

e^{x y} x

Solution steps

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

Treat

x

as a constant

Apply the chain rule:

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

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

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

= e^{x y} x

\frac{\partial}{\partial y} (3 cos (y))

x \to 3 lim (\frac{( x ^{4} - 81 )}{x - 3})

f (x) = (x^{5} - 4 x^{3} - 7)^{8}

\int \frac{32}{1 + 16 x ^{2}} d x

n = 1 \sum \infty (\frac{1}{5})^{n - 1}

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