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

The answer to (\partial)/(\partial z)(xz-e^xsin(y)) is x

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(\partial)/(\partial z)(xz-e^xsin(y))

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

x

Solution steps

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

Treat

x, y

as constants

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{\partial}{\partial z} (x z) = x

\frac{\partial}{\partial z} (e^{x} sin (y)) = 0

= x - 0

Simplify

= x

f (x) = tan (3 x)

ln (3 x - 1)

n = 3 \sum \infty \frac{1}{( 2 n - 5 ) ^{3}}

t^{2} sin (t)

\int_{2}^{3} \frac{3}{x} d x

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