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Let f be arry continuously differentiabl...

Let `f` be arry 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) ne0` for some `x in (a,b)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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