Question 1122715
This is (2x-3)*(1/3)(x^3-2)^(-2/3)*3x^2 + (x^3-2)^(1/3)*2x, using the chain rule
=x^2(2x-3)/(x^3-2)^(2/3) + 2x(x^3-2)^(1/3).  There are other ways to rewrite this.