Step-by-step explanation:
[tex]y =( {x}^{2} - 5x + 6)(x - 1) \\ y =( {x}^{3} - 5 {x}^{2} + 6x - {x}^{2} + 5x - 6) \\ \frac{dy}{dx} = 3 {x}^{2} - 12x + 11[/tex]