The extraction of uranium(VI) from acidic sulfate and nitrate media by Alamine 300 and di-n-octyl amine (DOA) solvents (T=298.2 K) is dependent about equally strongly on the types and concentration levels of the carrier, acid and the transferred U(VI) species. Distribution data have been subjected to formulation of an optimization structure for an effective U(VI) separation on the basis of the derivative variation method. Identification of optimum conditions is governed by the range of changes of the first order derivatives of the optimized quantity. Experimentally and analytically defined optimum U(VI) removal efficiencies of amines are ranging about 70-90% and 30-45% for aqueous-phase sulfate and nitrate media, respectively. Three independent variables, i.e. the concentrations of the carrier, acid and U(VI), are adequate for expressing the non-linear dependence of the optimized extraction factors on the properties of relevant system.