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Let f(x) be twice differentiable functio...

Let f(x) be twice differentiable function for all real x and f(1) = 1, f(2) = 4 , f(3) = 9. Then which one of the following statements is definitelly true ?

A

`f'' (x)= 2 ` for all `x in ( 1,3)`

B

`f'(x) = f'(x) = 5` for some `x in (2,3)`

C

`f'' (x) = 3` for all `x in ( 2,3)`

D

`f'' (x) = f(x_(0))`

Text Solution

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The correct Answer is:
A
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