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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` and `f(1)=1,` then

A

`f'(1) gt 1`

B

`f'(1) le 0`

C

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

D

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

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The correct Answer is:
A
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