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

The answer to (\partial)/(\partial y)(2xye^{x^2}) is 2e^{x^2}x

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(\partial)/(\partial y)(2xye^{x^2})

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

2 e^{x^{2}} x

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

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

Simplify

= 2 e^{x^{2}} x

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What is (\partial)/(\partial y)(2xye^{x^2}) ?
The answer to (\partial)/(\partial y)(2xye^{x^2}) is 2e^{x^2}x