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Let the set of all function f: [0,1]toR,...

Let the set of all function `f: [0,1]toR,` which are continuous on `[0,1]` and differentiable on `(0,1).` Then for every f in S, there exists a c `in (0,1)` depending on f, such that :

A

`|f(c)-f(1)|lt(1-c)|f'(c)|`

B

`(f(1)-f(c))/(1-c)=f'(c)`

C

`|f(c)-f(1)|lt|f'(c)|`

D

`|f(c)+f(1)|lt(1+c)|f'(c)|`

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