2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78649Ambiguity is shown in the context of the differential calculus of several variables and with the help of the language of category theory, a way to solve it in its most general form is offered. It is also shown that this new definition is related to other well-known definitions in the literature.ReVTeX file, 15ppClassical Analysis and ODEsMathematical PhysicsCategory TheoryOn an ambiguity in the concept of partial and total derivatives in classical analysistext