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For all twice differentiable functions...

For all twice differentiable functions ` f : R to R ` , with `f(0) = f(1) = f'(0) = 0`

A

`f(x) ne 0 ` at every point `x in (0,1)`

B

`f'(x) = 0` for some ` x ne (0,1)`

C

`f'(0) = 0`

D

`f''(x) = 0 ` , at every point ` x in (0,1)`

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