You can define some discontinuities and then eliminate the global max, but there is some function that have a unique critical point, this critical point is a local max (or minimum), and this function don't have a global maximum or minimum? Can you give some examples or maybe a reason because is not possible?
2026-04-13 00:49:34.1776041374
There is a differentiable function from R to R that has a unique critical point that is a local maximum but still not have a global maximum?
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