If f(x) is a twice differentiable function for which f(1)=1, f(2)=4 and f(3)=9 then

JEE Advanced Mathematics question

If is a twice differentiable function for which , and then

Answer: (D)

The values are , so let . Then and is twice differentiable. - Rolle on : for some ; Rolle on : for some . - Rolle on over : for some

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Question ID VK-110146