What is (\partial)/(\partial x)(yx+y+z) ?

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

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(\partial)/(\partial x)(yx+y+z)

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

y

Solution steps

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

Treat

y, z

as constants

Apply the Sum/Difference Rule:

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

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

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

\frac{\partial}{\partial x} (y) = 0

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

= y + 0 + 0

Simplify

= y

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