MathematicsMedium179×since 2002Q4206Let 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, thenAf''(x) = 0 for all x ∈\in∈ (0, 2)Bf''(x) = 0 for some x ∈\in∈ (0, 2)Cf'(x) = 0 for some x ∈\in∈ [0, 2]Df''(x) > 0 for all x ∈\in∈ (0, 2)Check answerSkip