# Definitions

Local Maximum :-
For a function   is a point of local maximum if there exists an open interval containing  such that  for all values of  lying in that interval. The corresponding value of  (= = f ()) is known as local maximum value.

### Local Maximum :-For a function  is a point of local maximum if there exists an open interval containing  such that f () < f (x) for all values of lying in that interval. The corresponding value of  (= = f ()) is known as local minimum value.

In the fig. shown;

and  are the two points of location maxima.

and  are the two points of location minima.