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函数的极值是一个局部性的概念,极值点是区间内部的点,而不会是端点。若(fx)在某区间内有极值,则(fx)在此区间内一定不是单调函数,即在区间上单调的函数没有极值,且极大值点和极小值点是交替出现的。
The extremum of a function is a concept of locality. The extremum point is the point inside the interval, not the end point. If (fx) has an extreme value in a certain interval, (fx) must not be a monotonous function in this interval, that is, the monotone function in the interval has no extremum and the maximum and minimum point alternate .