Question: A differentiable function f on an open interval S is (strictly) convex if and only if f is (strictly) increasing. Combined with exercises

A differentiable function f on an open interval S ⊆ ℜ is (strictly) convex if and only if f′ is (strictly) increasing.
Combined with exercises 4.35 and 4.36, this means that convex and concave functions on R can be identified through their second derivatives.

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