Ответ:

y' = (e^x)'(x^2 - 5x + 6) + e^x(x^2 - 5x + 6)' = e^x(x^2 - 5x + 6) + e^x(2x - 5) = e^x(x^2 - 5x + 6 + 2x - 5) = e^x(x^2 - 3x + 1)