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

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

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

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

e^{- x} z cos (y)

Solution steps

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

Treat

x, z

as constants

Take the constant out:

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

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

Apply the common derivative:

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

= e^{- x} z cos (y)

\frac{d}{d a} (4 sin (3 a) cos (3 a))

\frac{d}{d x} (ln (x) d x)

x \to 0 + lim (\frac{8}{x ^{2} - x})

(8.4) (4.1)

x \to - 1 - lim (f (x))

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