求y=ln[(1+√x)⼀(1-√x)]的导数

2025-01-19 11:39:24
推荐回答(2个)
回答1:

回答2:

求导数y=ln[(x+1)/(x-1)]^(1/2)
y’={1/[(x+1)/(x-1)]^(1/2)}*(1/2)[(x+1)/(x-1)]^(-1/2)*[x-1-(x+1)]/(x-1)^2

=[(1/2)*(x-1)*(-2)]/[(x+1)*(x-1)^2]

=1/(1-x^2)