The paper studies the local dependence on a parameter of a unique solution to a general inequality-equality constrained nonlinear programming problem. A theorem due to \textit{A. V. Fiacco} [Math. Program. 10, 287-311 (1976; Zbl 0357.90064)] is extended to deal with the case where the objective and constraint functions are definded only over the nonnegative orthant. Other results are developed which extend sensitivity (or comparative statics) theorems due to \textit{P. A. Samuelson} [''Foundations of economic analysis'' (1971; Zbl 0326.90002)] and \textit{E. Sillerberg} [J. Econ. Theory 7, 159-172 (1974)] for equality constrained maximization problems to general nonlinear programs.