Using the product rule, differentiate: y = (x^2 - 1)(x^3 + 3).

y=(x²-1)(x³+3) let u=x²-1 u'=2x let v=x³+3 v'=3x² uv'+u'v=(x²-1)(3x²)+(2x)(x³+3) =(3x⁴-3x²)+(2x⁴+6X) =5x⁴-3x²+6x