well the thing is i already have to correct answer. its -1/(1-x)ln(1-x). but depending on the methods i have been using, i get both that and -1/(1-x)^2ln(1-x)
take the derivative of the outside, which is inside over derivative of inside. (-1/(1-x))/ln(1-x). Then take the derivative of the inside which is -1/(x-1) then derivative of that which is -1