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f( (x + y)/ 3 ) = [f(x)+ f(y)+ f(0)]/ 3 for all x ,y in R. If the function is differentiable at x = 0 then show that it is differentiable for all x in R

f( (x + y)/ 3 ) = [f(x)+ f(y)+ f(0)]/ 3 for all x ,y in R. If the function is differentiable at x = 0 then show that it is differentiable for all x in R

Grade:12th pass

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