Find the global extrema of ....
f(x) = ln x + 4e^x -1 for 1 ≤ x ≤ 4
GLOBAL EXTREMA
2011-02-19 9:38 pm
回答 (1)
2011-02-19 9:59 pm
✔ 最佳答案
f(x) = ln x + 4e^x -1 for 1 ≤ x ≤ 4f'(x) = 1/x + 4e^x > 0 for 1 ≤ x ≤ 4
So, f(x) is a strictly increasing function
=> f(1) ≤ f(x) ≤ f(4)
4e - 1 ≤ f(x) ≤ ln4 + 4e^4 - 1
收錄日期: 2021-04-26 14:04:09
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20110219000051KK00510