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Let f(x) be a twice differentiable funct...

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

(a) `f''(x) = 2 AA x in (1, 3)`

B

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

C

(c) `f''(x) = 3 AA x in (2, 3)`

D

(d) `f''(x) = "2 for some x" in (1, 3)`

Text Solution

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The correct Answer is:
D
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