Question: Assume that |(x)| 1 and [(x)| 1 for all x on an interval of length at least 2. Show that |'(x)| 2

Assume that |ƒ(x)| ≤ 1 and [ƒ"(x)| ≤ 1 for all x on an interval of length at least 2. Show that |ƒ'(x)| ≤ 2 on the
interval.

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