So here is my problem i am suppose to graph f(x)= (20x^2-20)/(x^3+x^2) but i am not sure if i am doing it correctly. I got a vertical asymptote at x=0 and a horizontal asymptote at y=0. Now, I believe these to be right, but once i get to the first derivative (to find local extrema) I become bewildered. I am not sure if i am doing it right and since its crucial to be done right in order to find the second derivative (concavity and point of inflection); therefore i need much appreciated assistance. I got f1(x)= (-39x^2+40x)/(x^2)^2 . If anyone can confirm anything or point out errors it would be greatly appreciated.