What is (\partial)/(\partial z)(xz+yz) ?

The answer to (\partial)/(\partial z)(xz+yz) is x+y

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(\partial)/(\partial z)(xz+yz)

\frac{\partial}{\partial z} (x z + yz)

x + y

Solution steps

\frac{\partial}{\partial z} (x z + yz)

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} (yz)

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

\frac{\partial}{\partial z} (yz) = y

= x + y

What is (\partial)/(\partial z)(xz+yz) ?
The answer to (\partial)/(\partial z)(xz+yz) is x+y