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QUESTION
Let the real-valued function f be continuous on [0, 2] and twice-differentiable on (0,2). Assume that f(0) = 0, that f(1) = 1 and that f(2) = 2....
Let the real-valued function f be continuous on [0, 2] and twice-differentiable on (0,2). Assume that f(0) = 0, that f(1) = 1 and that f(2) = 2. Prove that there exists u ∈ (0,2) such that f′′(u) = 0.
