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On the improper derivatives of Tagaki’s continuous nowhere differentiable function. (English) Zbl 1202.26010

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 \(T'_-(x)=\infty\).

MSC:

26A27 Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives
39B22 Functional equations for real functions

Citations:

Zbl 1149.26008
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