已知y=ln[(x+1)/(x-1)],求dy/dx
问题描述:
已知y=ln[(x+1)/(x-1)],求dy/dx
答
应该这样
y=ln[(x+1)/(x-1)]
=ln(x+1)-ln(x-1)
再求导,得
y'=1/(x+1)-1/(x-1)
=-2/(x+1)(x-1) (可以不写)