What is (\partial)/(\partial y)(e^xsin(2y)) ?

The answer to (\partial)/(\partial y)(e^xsin(2y)) is e^xcos(2y)*2

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(\partial)/(\partial y)(e^xsin(2y))

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

e^{x} cos (2 y) \cdot 2

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the chain rule:

cos (2 y) \frac{\partial}{\partial y} (2 y)

= cos (2 y) \frac{\partial}{\partial y} (2 y)

\frac{\partial}{\partial y} (2 y) = 2

= e^{x} cos (2 y) \cdot 2

\int (14 x^{13}) d x

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

\frac{e ^{x} ( x - 2 )}{( x - 1 ) ^{2}}

\int \frac{1}{x ^{2} + 9 x + 18} d x

\int sin (θ) + 1 d θ

What is (\partial)/(\partial y)(e^xsin(2y)) ?
The answer to (\partial)/(\partial y)(e^xsin(2y)) is e^xcos(2y)*2