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

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

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

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

e^{x} cos (y)

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

\frac{\partial}{\partial y} (sin (y)) = cos (y)

= e^{x} cos (y)

\int \frac{ln ( 5 x )}{x ^{3}} d x

y = 4 x, y = x^{2}

\int_{0}^{1} t d t

h \to 0 lim (5 h + 56)

\frac{d}{d x} (\frac{8}{3 - x})

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