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Let `f`be any continuously differentiable function on [a,b] and twice differentiable on `(a,b)` such that `f(a)=f'(a)=0` . Then

A

x

B

`f'(x)=0` for some `x in (a,b)`

C

`f''(x)=0` for some `x in (a,b)`

D

`f'''(x)=0` for some `x in (a,b)`

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B, C
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