I have no idea what I am doing wrong, I have run through this many times and it has to be the right answer but the book gets something different that seems impossible.
I am suppose to find the derivative of $y= (1-x^{-1})^{-1}$
This is really easy, no tricks here. I use the chain rule and I get
$\frac {dx}{dy} = -(1-x^{-1})^{-2}*\frac{dx}{dy}(1-x^{-1})$
$\frac {dx}{dy} = -(1-x^{-1})^{-2} (x^{-2})$
So this all seems correct to me but is the wrong answer, and I do not know what is wrong with what I have done up to this point.