| MSC: | 26A27 | Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives |
Abstract:
This note is a completion of \cite{kru-k}
where it was investigated among other things the improper
derivatives of Takagi's continuous nowhere differentiable function
$T$. We determine all points $x$ for which $T$ has the one-sided improper
derivatives $T'_+(x)=\infty$ and $T'_-(x)=\infty$.