Question: If is continuously differentiable on [0, 1] and (1) = (0) = -1/6, prove that ] 0 2 / Fox (f'(x)) dx 2 f(x)

If ƒ is continuously differentiable on [0, 1] and ƒ(1) = ƒ(0) = -1/6, prove that] 0 2 / Fox (f'(x)) dx 2 f(x) dx + 1/

] 0 2 / Fox (f'(x)) dx 2 f(x) dx + 1/ 4

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We can start the proof by using integration by parts on the lefthand side of the inequality 01 fx2 d... View full answer

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