What is (\partial)/(\partial y)(7e^xsin(y)) ?

The answer to (\partial)/(\partial y)(7e^xsin(y)) is 7e^xcos(y)

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(\partial)/(\partial y)(7e^xsin(y))

\frac{\partial}{\partial y} (7 e^{x} sin (y))

7 e^{x} cos (y)

Solution steps

\frac{\partial}{\partial y} (7 e^{x} sin (y))

Treat

x

as a constant

Take the constant out:

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

= 7 e^{x} \frac{\partial}{\partial y} (sin (y))

Apply the common derivative:

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

= 7 e^{x} cos (y)

f (x) = - \frac{5}{x ^{3}}

x \to - 3 lim (\frac{3 + x}{x})

\int \frac{1}{2 y} d y

e^{2 x}

sec^{9} (x)

What is (\partial)/(\partial y)(7e^xsin(y)) ?
The answer to (\partial)/(\partial y)(7e^xsin(y)) is 7e^xcos(y)