Answer by user43208 for Continuous functions that are differentiable in only...
A much more general result was given by Zahorski:Zygmunt Zahorski, Sur l'ensemble des points de non-dérivabilité d'une fonction continue, Bulletin de la Société Mathématique de France, Volume 74...
View ArticleContinuous functions that are differentiable in only one point
Quite recently I discussed with a colleague of mine the following question: Is there a function $f: \mathbb R \to \mathbb R$ that differentiable in one point only?The answer is positive and the example...
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