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

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

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

\frac{\partial}{\partial y} (e^{y} \cdot 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}

f (x) = \frac{1}{2 x + !}

- 4 t^{2} δ (t - 2)

4 x^{2}, x^{2} + 3

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

sin (5 x)

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