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If f:R->R is a twice differentiable func...

If `f:R->R` is a twice differentiable function such that `f''(x) > 0` for all `x in R, and f(1/2)=1/2. f(1)=1,` then

A

`f'(1) le 0`

B

`f'(1) gt1`

C

`0 lt f'(1) le (1)/(2)`

D

`(1)/(2) lt f'(1) le 1`

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The correct Answer is:
B
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