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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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