高等数学 经济数学 极限求导 ,计算题 ,要解答过程哦,谢谢啦

2025-01-20 16:17:29
推荐回答(1个)
回答1:

lny = 2+2ln|x-1|+(1/2)ln|2x-1|-(2/3)ln|x+3|
y'/y = 2/(x-1)+1/(2x-1)-(2/3)/(x+3)
y' = y [2/(x-1)+1/(2x-1)-(2/3)/(x+3)]
= e^2(x-1)^2√(2x-1)[2/(x-1)+1/(2x-1)-(2/3)/(x+3)]/(x+3)^(2/3)