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

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

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

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

\frac{d y}{d x} - 9 y^{2} e^{- 3 x} = 0, y (0) = 10

\int (\frac{3}{2 x ^{\frac{1}{2}}} - \frac{2}{3 x ^{\frac{1}{3}}}) d x

\frac{d}{d x} (\frac{2}{3} x^{\frac{3}{2}} + 1)

\frac{d}{d x} (x^{3} - 3 x^{2} - 24 x + 32)

\frac{1}{0.1 s + 1}

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