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

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

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(\partial)/(\partial x)(2xy+y)

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

2 y

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 2 y + 0

Simplify

= 2 y

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