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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 '(0) =0`

B

f'(c ) =0 for some `c in R`

C

if `c ne 0,` then `f '(c ) ne 0`

D

`f '(x) gt 0` for some `x ne 0`

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The correct Answer is:
B
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