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

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

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

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

- e^{x} sin (y)

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= e^{x} (- sin (y))

Simplify

= - e^{x} sin (y)

\frac{5}{( s ^{2} + 5 ^{2} ) ^{2}}

n = 3 \sum \infty \frac{3 ^{n}}{1 1 ^{n}}

\int \frac{y ^{2} - 49}{y} d y

\int sin (12 x) cos (5 x) d x

\int_{- \infty}^{0} \frac{1}{5 - 4 x} d x

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