I am trying to find the derivative of the following expression:
$y = 1 + \frac{a}{1/x - a} + \frac{b/x}{(1/x - a)(1/x - b)} + \frac{c/x^2}{(1/x - a)(1/x - b)(1/x - c)}$
I have attempted to use basic differentiation rules, but the complexity of the expression is making it challenging. Could someone provide a step-by-step solution or guidance on how to approach this problem? I would greatly appreciate any assistance.
Thank you!