Generalized Derivative and Its Application on Extreme Problem
We generalize the concept of derivative to generalized derivative,investigate its property,and provide a simple method to calculate it via equivariant infinitesimal.We introduce the concept of derivative index,and prove that it is a complete invariant for infinitesimal of the same order.Finally,we use generalized derivative and derivative index to give a necessary and sufficient condition for the extreme problem.
generalized derivativederivative indexinfinitesimalextreme problem
万方数据
维普
