Functions with a derivative can definitely have the Lipschitz property. The “examples” section of https://en.m.wikipedia.org/wiki/Lipschitz_continuity https://

Functions with a derivative can definitely have the Lipschitz property. The “examples” section of https://en.m.wikipedia.org/wiki/Lipschitz_continuity https://en.m.wikipedia.org/wiki/Lipschitz_continuity begins with a subsection entitled, “Lipschitz continuous functions that are everywhere differentiable”. Most of the examples given there are differentiable in varying ways. (Unqualified “differentiable” normally means “everywhere differentiable”.) You're also contradicting your previous comment at https://news.ycombinator.com/item?id=44145078 https://news.ycombinator.com/item?id=44145078. I was trying very hard to ascribe some sort of sensible interpretation to your comments, but due to your aggression, now I regret having done so.