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

f (x) = (x (x^{5} + 9)^{3})

\int e^{4 θ} sin (5 θ) d θ

\frac{d N}{d t} = k N

\int ln ((2 - 3 x)^{4}) d x

\frac{d}{d x} (3 x^{2} + 5 x^{3})

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