extreme

Maximum and minimum of a function

這裡我們要討論一個函數的最大值以及最小值. 首先我們有極值定理 Theorem: Extreme value theorem If $f$ is a real-valued continuous function on the closed interval $[a,b]$, then $f$ must attain a maximum and a minimum. 所以對於定義在封閉區間的連續函