Geodesic
A Typical Nowhere Differentiable Function
Canadian mathematical bulletin, Tome 26 (1983) no. 2, pp. 149-151

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DOI

We construct an explicit continuous function F such that for each point x, every extended real number is a derived number of F at x and F has an infinite left and an infinite right derived number at x.
DOI : 10.4153/CMB-1983-024-4
Mots-clés : 26A27, 26A15, nowhere differentiable function, continuous function, Dini derivate, derived number 
Cater, F. S. A Typical Nowhere Differentiable Function. Canadian mathematical bulletin, Tome 26 (1983) no. 2, pp. 149-151. doi: 10.4153/CMB-1983-024-4
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     title = {A {Typical} {Nowhere} {Differentiable} {Function}},
     journal = {Canadian mathematical bulletin},
     pages = {149--151},
     year = {1983},
     volume = {26},
     number = {2},
     doi = {10.4153/CMB-1983-024-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-024-4/}
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