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Let f((x+y)/2) = (f(x)+f(y))/2 for all r...

Let `f((x+y)/2) = (f(x)+f(y))/2` for all real values of x and y. If `f^(')(0)` exists and equals -1 and f(0) =1, then `f^(')(2)` is equal to

A

(-1)

B

1

C

0

D

none of these

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A
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