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

The answer to (\partial)/(\partial y)(xye^x) is e^xx

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

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

e^{x} x

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= x e^{x} \cdot 1

Simplify

= e^{x} x

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What is (\partial)/(\partial y)(xye^x) ?
The answer to (\partial)/(\partial y)(xye^x) is e^xx