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Let f: R rarr R be twice continuously di...

Let `f: R rarr R` be twice continuously differentiable. Let `f(0)=f(1)=f'(0)=0`. Then

A

`f''(x)ne0` for all x

B

`f''(c )=0` for some `c inR`

C

`f''(x)ne0` if `xne0`

D

`f'(x)gt0` for all x

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