What is (\partial)/(\partial y)(e^{-x}sin(y)) ?

The answer to (\partial)/(\partial y)(e^{-x}sin(y)) is e^{-x}cos(y)

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(\partial)/(\partial y)(e^{-x}sin(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)

\frac{\partial}{\partial x} (x^{2} + y^{2} + z^{2} - 9)

\int \frac{e ^{x}}{1 - 64 e ^{2 x}} d x

\frac{\partial}{\partial x} (\frac{1}{ln ( x - y )})

n = 1 \sum \infty \frac{1}{n ^{0.3}}

\int - e^{- y} d y

What is (\partial)/(\partial y)(e^{-x}sin(y)) ?
The answer to (\partial)/(\partial y)(e^{-x}sin(y)) is e^{-x}cos(y)