What is (\partial)/(\partial y)(3e^xsin(y)) ?

The answer to (\partial)/(\partial y)(3e^xsin(y)) is 3e^xcos(y)

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(\partial)/(\partial y)(3e^xsin(y))

\frac{\partial}{\partial y} (3 e^{x} sin (y))

3 e^{x} cos (y)

Solution steps

\frac{\partial}{\partial y} (3 e^{x} sin (y))

Treat

x

as a constant

Take the constant out:

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

= 3 e^{x} \frac{\partial}{\partial y} (sin (y))

Apply the common derivative:

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

= 3 e^{x} cos (y)

\frac{d}{d x} (\frac{1 - x}{x})

\int \frac{1}{x ^{2} - 2 x + 101} d x

\int sec^{5} (4 x) d x

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

\frac{\partial}{\partial x} (y^{6} cos (4 x) \cdot 4)

What is (\partial)/(\partial y)(3e^xsin(y)) ?
The answer to (\partial)/(\partial y)(3e^xsin(y)) is 3e^xcos(y)