高等数学4题对数求导的3题应该怎么做

2025-05-07 21:59:21
推荐回答(1个)
回答1:

3(4) lny = (1/2)ln|x+2| + 4ln|x-3| - 5ln|x+1|
y'/y = (1/2)/(x+2) + 4/(x-3) - 5/(x+1)
y' = y[(1/2)/(x+2) + 4/(x-3) - 5/(x+1)]
= {√(x+2)(x-3)^4/(x+1)^5]}[(1/2)/(x+2) + 4/(x-3) - 5/(x+1)]