What is (\partial)/(\partial x)(yx+2x) ?

The answer to (\partial)/(\partial x)(yx+2x) is y+2

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(\partial)/(\partial x)(yx+2x)

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

y + 2

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

\frac{\partial}{\partial x} (2 x) = 2

= y + 2

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What is (\partial)/(\partial x)(yx+2x) ?
The answer to (\partial)/(\partial x)(yx+2x) is y+2