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

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

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

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

sin (3 y) e^{x}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= sin (3 y) e^{x}

n = 1 \sum \infty \frac{2}{n !}

\int 5^{3} d x

xg (x)

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

\int \frac{3}{2 x} d x

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