1.

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

A. \[f''(x)=2\forall x\in (1,3)\]
B. \[f''(x)=f'(x)=5\] for some \[x\in (2,3)\]
C. \[f''(x)=3\,\forall \,x\in (2,\,\,3)\]
D. \[f''(x)=2\] for some \[x\in (1,3)\]
Answer» E.


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