Find y' by (a) applying the Product Rule and (b) multiplying the factors to produce a sum of simpler terms to differentiate.
y = (6 - x^2)(x^3 - 2x + 5)
a. Apply the Product Rule. Let u = (6 - x^2) and v = (x^3 - 2x + 5).
d/dx(uv) = (6 - x^2)(3x^2 - 2) + (x^3 - 2x + 5)(-2x)
b. Multiply the factors of the original expression, u and v, to produce a sum of simpler terms.
y =
(Simplify your answer.)