On Caratheodory Differentiability
Matematičeskoe obrazovanie, Tome 37 (2006) no. 2, pp. 18-31.

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The basic notions and properties of differentiability in terms of Caratheodory differentiability are considered.
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S. I. Kalinin. On Caratheodory Differentiability. Matematičeskoe obrazovanie, Tome 37 (2006) no. 2, pp. 18-31. http://geodesic.mathdoc.fr/item/MO_2006_37_2_a2/