In other words, can we have something like a concave function where the second derivative is increasing over some range and then decreasing over another range?
Edit: What if the concave function is strictly increasing? (or decreasing?)
2026-04-12 19:45:36.1776023136
Does concavity put restrictions on whether the 2nd derivative is nonincreasing/nondecreasing.
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Yes, $f(x)=-e^{x^{2}}$ is such a function.