Current location - Training Enrollment Network - Mathematics courses - Definition of extreme point
Definition of extreme point
The concept of extreme value comes from the problem of maximum and minimum value in mathematical application. The maximum and minimum values of a function are collectively referred to as the extremum of the function, and the point where the function obtains the extremum is called the extremum point. Every continuous function defined on a bounded closed region is bound to reach its maximum and minimum. The problem is to determine at which point it reaches the maximum or minimum. If it is not a boundary point, it must be an interior point, then this interior point must be an extreme point. The first task here is to find a necessary condition for an interior point to become an extreme point. Let the function f(x) have a definition near X. If it is correct for X. Its centripetal neighborhood has f (x): f (x.), then f (x.) is a minimum value of the function f (x.) and the corresponding extreme point is X.