Geodesic
Monotone transformations and differential properties of functions
Matematičeskie zametki, Tome 22 (1977) no. 6, pp. 859-871.

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The class of all real functions of a single variable which become everywhere differentiable after a certain homeomorphic transformation of coordinate axis is described. Moreover, various examples about differential properties of functions are given (in particular, an elementary construction of a nonconstant continuously differentiable real function of two variables, every value of which is critical-the example of Whitney, is given). 
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     author = {L. I. Kaplan and C. G. Slobodnik},
     title = {Monotone transformations and differential properties of functions},
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L. I. Kaplan; C. G. Slobodnik. Monotone transformations and differential properties of functions. Matematičeskie zametki, Tome 22 (1977) no. 6, pp. 859-871. http://geodesic.mathdoc.fr/item/MZM_1977_22_6_a7/