Answer
$y' = -5x^{4}+12x^{2}-2x -3$
Work Step by Step
Using product rule:
$y = (3-x^{2})(x^{3} - x +1)$
$y' = (3-x^{2})(3x^{2} - 1+0) + (x^{3} - x +1)(-2x)$
$y' = -5x^{4} + 12x^{2}-2x-3$
Using sum of simpler terms:
$y = -x^{5}+4x^{3} - x^{2} - 3x +3$
$y' = -5x^{4}+12x^{2}-2x -3$