Respect the vertical-asymptote condition at the derivative boundary

· Techniques of Differentiation

C has equation $y=(2x^2+ax+3a)/(x+b)$, where a,b are nonzero constants. x=2 is an asymptote.

(i) State b.

(ii) By differentiation, find the range of a for which C has no stationary points.

(iii) Given a=−3, sketch C with all asymptotes and axis intersections.