What is (\partial)/(\partial y)(xe^y) ?

The answer to (\partial)/(\partial y)(xe^y) is xe^y

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(\partial)/(\partial y)(xe^y)

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

x e^{y}

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= x e^{y}

\int \frac{( e ^{x} ) ^{2}}{e ^{x} + 1} d x

\int_{0}^{1} [(x^{2} - 1) - (- x + 2)] d x

\frac{\partial}{\partial x} (2 x - y)

\int 2 x (x^{2} + 2)^{5} d x

\frac{d}{d x} (\frac{5 x}{4})

What is (\partial)/(\partial y)(xe^y) ?
The answer to (\partial)/(\partial y)(xe^y) is xe^y