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

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

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

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

sin (x) e^{y}

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= sin (x) e^{y}

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

\frac{( 4 s - 18 )}{s ^{2} - 6 s + 10}

\int 20 x d x

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

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

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