JEE Math Practice Question
Let f be any continuous function on [0, 2] and twice differentiable on (0, 2). If f(0) = 0, f(1) = 1 and f(2) = 2, then
- A.f''(x) = 0 for all x $$\in$$ (0, 2)
- B.f''(x) = 0 for some x $$\in$$ (0, 2)
- C.f'(x) = 0 for some x $$\in$$ [0, 2]
- D.f''(x) > 0 for all x $$\in$$ (0, 2)
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