求y=ln[(1+√x)/(1-√x)]的导数

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求y=ln[(1+√x)/(1-√x)]的导数求y=ln[(1+√x)/(1-√x)]的导数求y=ln[(1+√x)/(1-√x)]的导数求导数y=ln[(x+1)/(x-1)]^(1/2)y’={1

求y=ln[(1+√x)/(1-√x)]的导数
求y=ln[(1+√x)/(1-√x)]的导数

求y=ln[(1+√x)/(1-√x)]的导数

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)