Complete differential

of a function in $ n $ variables at a point $ x _ {0} \in \mathbf R ^ {n} $

The same as the differential of the function at that point. The term complete differential is used to contrast it with the term partial differential. The concept of the complete differential of a function in $ n $ variables can be extended to the case of mappings of open sets in linear topological spaces into similar spaces (see Gâteaux differential; Fréchet differential; Differentiation of a mapping).