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Let f be any continuous function on [0, ...

Let f be any continuous function on [0, 2] and twice differentiable on (0, 2). If f(0) = 0, f(1) = 1 and f(2) = 2, then :

A

`f'' (x) = 0` for some `x in (0, 2)`

B

`f'(x) = 0` for some `x in [0, 2]`

C

`f''(x) gt 0` for all `x in (0, 2)`

D

`f''(x) = 0` for all `x in (0, 2)`

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