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Let f:[a,b]toR be such that f is differe...

Let `f:[a,b]toR` be such that f is differentiable in (a,b), f is continuous at x=a and x=b and moreover f(a)=0f(b). Then

A

there exists at least one point c in (a,b) such that f'( c)=f(c )

B

`f'(x)=f(x)` does not hold at any point in (a,b)

C

at every point of (a,b), `f'(x)gtf(x)`

D

at every point of (a,b), `f'(x)ltf(x)`

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A
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