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 \(y\).


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