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

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

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

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

2

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 2 - 0

Simplify

= 2

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