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

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

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

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

2

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial y} (2 x) = 0

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

= 0 + 2

Simplify

= 2

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