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For all x in [0, 1] let the second deriv...

For all `x in [0, 1]` let the second derivative f''(x) of a function f(x) exists and satisfy `|f''(x)| lt 1`. If f(0) = f(1), then

A

`|f'(x)| lt 1` for all x in [0, 1]

B

`|f'(x)| gt 1` for all x in [0, 1]

C

`|f'(x)| ge 1` for all x in [0, 1]

D

`|f'(x)| lt 2` for all x in [0, 1]

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The correct Answer is:
A
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