Krüppel, Manfred On the improper derivatives of Tagaki’s continuous nowhere differentiable function. (English) Zbl 1202.26010 Rostocker Math. Kolloq. 65, 3-13 (2010). Summary: This note is a completion of [ibid. 62, 41–59 (2007; Zbl 1149.26008)] 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 \(T'_-(x)=\infty\). Cited in 6 Documents MSC: 26A27 Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives 39B22 Functional equations for real functions Keywords:Takagi’s continuous nowhere differentiable function; improper derivatives Citations:Zbl 1149.26008 PDFBibTeX XMLCite \textit{M. Krüppel}, Rostocker Math. Kolloq. 65, 3--13 (2010; Zbl 1202.26010) Full Text: Link