I'm given the function (x^3 - 4x - 8) / (x+2) and need to locate asymptotes, stationary points, and inflection points. I have determined that there is a vertical asymptote at x=-2 and a curvilinear asymptote at x^2 - 2x, but am stuck on how to move forward. I've found dy/dx to be (2x^3+6x+16) / (x+2)^2, but am not sure what the critical points would be.
