A Generalized Taylor's Formula for Functions of Several Variables and Certain of its Applications

Part 1 Biased differentiability and its Taylor formula: the strong form of biased differentiability; biased differentiability. Part 2 Biased differentiability and extrema: introduction and summary; extrema for Cp functions; extrema for C rho functions. Part 3 Sufficiency of biased jets: preliminaries; the results; the proofs of theorems 6,7 and 8; final comments and remarks.