What is (\partial)/(\partial x)(xy+z^2) ?

The answer to (\partial)/(\partial x)(xy+z^2) is y

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(\partial)/(\partial x)(xy+z^2)

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

y

Solution steps

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

Treat

y, z

as constants

Apply the Sum/Difference Rule:

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

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

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

\frac{\partial}{\partial x} (z^{2}) = 0

= y + 0

Simplify

= y

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What is (\partial)/(\partial x)(xy+z^2) ?
The answer to (\partial)/(\partial x)(xy+z^2) is y