# Let's do some calculus! (12)

Calculus Level 4

Given that $y= \dfrac{ax^{2}}{(x-a)(x-b)(x-c)} + \dfrac{bx}{(x-b)(x-c)} + \dfrac{c}{x-c} + 1$

Find $$\dfrac{y'}{y}$$.

Notation: $$y'$$ denotes the first derivative of $$y$$.