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

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

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

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

x e^{x} cos (y)

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

\frac{\partial}{\partial y} (sin (y)) = cos (y)

= x e^{x} cos (y)

(3 x^{4} - 12)^{\frac{1}{2}}

2 x^{2} + 7 x + 4

\int x cos (3 π) x^{2} d x

10 + t^{2}

\frac{\partial}{\partial y} (6 x^{2})

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