Find dy/dx, if y=(sin x )^cosx
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Find dy/dx, if y=(sin x )^cosx
2011-01-04 2:32 am
回答 (1)
2011-01-04 2:37 am
✔ 最佳答案
有一套STANDARD 的 PROCEDURE 如下y=(sin x )^cosx
lny=(cosx)ln(sinx)
(1/y)dy/dx=(cosx)(cosx/sinx)-(lnsinx)(sinx)
(1/y)dy/dx=(cosx)^2/sinx-(lnsinx)(sinx)
dy/dx=y[(cosx)^2/sinx-(lnsinx)(sinx)]
dy/dx=[(sin x )^cosx][(cosx)^2/sinx-(lnsinx)(sinx)]
收錄日期: 2021-04-26 14:07:14
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https://hk.answers.yahoo.com/question/index?qid=20110103000051KK00864