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Let f ((x + y )/( 2)) = (f (x) + f (y))/...

Let `f ((x + y )/( 2)) = (f (x) + f (y))/( 2) AA x,y,in R. If f (0) =1. f '(0)` exists and equal `-1,` find `f' (2) .`

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The correct Answer is:
`-1`
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