What is (\partial)/(\partial x)(e^x*sin(y)) ?

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

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(\partial)/(\partial x)(e^x*sin(y))

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

sin (y) e^{x}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= sin (y) e^{x}

\int_{0}^{\frac{1}{2}} (4 x + 3) e^{2 x} d x

\frac{\partial}{\partial x} (\frac{5}{x y})

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

x y^{^{'}} + y = x y^{2}

\frac{x}{e ^{x} - 1}, 1

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