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For all twice differentiable functions...

For all twice differentiable functions ` f : R to R ` , with `f(0) = f(1) = f'(0) = 0`

A

`f''(x) ne 0` at every point `x in (0, 1)`

B

`f''(x)=0`, for some `x in (0, 1)`

C

`f''(0) =0`

D

`f''(x) =0`, at every point `x in (0, 1)`

Text Solution

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The correct Answer is:
B
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