If f (x) =2+ |x| -|x-1|-|x+1|, then f '(...

If `f (x) =2+ |x| -|x-1|-|x+1|,` then `f '((1)/(2)) +f' ((3)/(2))+f' ((5)/(2))` is equal to:

A

1

B

`-1`

C

2

D

`-2`

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Verified by Experts

The correct Answer is:

D

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