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Let f be any continuously differentiable...

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

A

`f''(a)=0`

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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