數學:求最大值..............

2010-04-18 3:20 am
設a和b為正常數,且a>b,求1/(bx+a^2+x^2)的最大值?(要過程)

回答 (2)

2010-04-18 5:01 am
✔ 最佳答案
================================================

圖片參考:http://img249.imageshack.us/img249/4051/14601067.png


2010-04-17 21:01:28 補充:
http://img249.imageshack.us/img249/4051/14601067.png
2010-04-18 5:09 am
1/(x^2 + bx + a^2) is a maximum when x^2 + bx + a^2 is a minimum which is equal to - [ b^2 - 4(1)(a^2)]/4 = (4a^ - b^2)/4.
so maximum value of 1/(x^2 + bx + a^2) = 4/(4a^2 - b^2).


收錄日期: 2021-04-23 23:24:19
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20100417000051KK01298

檢視 Wayback Machine 備份