y = ln sqrt((x + 1)/(x - 1))) Find the derivative of the function.

y=lnsqrt[(x+1)/(x-1)]
y=ln(x+1)^(1/2)-ln(x-1)^(1/2)
y=1/2ln(x+1)-1/2ln(x-1)
y'=1/[2(x+1)]-1/[2(x-1)]
y'=[(x-1)-(x+1)]/[2(x+1)(x-1)]
y'=[x-1-x-1]/[2(x+1)(x-1)]
y'=-1/[(x+1)(x-1)]
The derivative of the function y is -1/[(x+1)(x-1)].