What is the first derivative of 2x-2y ?

The first derivative of 2x-2y is 2

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derivative of 2x-2y

derivative of

2 x - 2 y

2

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 2 - 0

Simplify

= 2

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