Geodesic
Some Remarks on Extreme Derivates
Canadian mathematical bulletin, Tome 12 (1969) no. 4, pp. 385-388

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In 1957 Hájek [1] proved that the extreme bilateral derivates of an arbitrary finite real valued function of a real variable, are Borel measurable of class ≦ 2. It was later shown by Staniszewska [3] that Hájek's result is the best possible (even among the class of functions satisfying a Lipschitz condition). Staniszewska exhibited a Eipschitz function whose extreme bilateral derivates are not in Borel class 1. Staniszewska's proof makes use of a result of Zahorski's [4] concerning kernel functions. 
Bruckner, A. M. Some Remarks on Extreme Derivates. Canadian mathematical bulletin, Tome 12 (1969) no. 4, pp. 385-388. doi: 10.4153/CMB-1969-048-x
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     title = {Some {Remarks} on {Extreme} {Derivates}},
     journal = {Canadian mathematical bulletin},
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