Let $$g(x)=\frac{2}{5}x^3-\frac{7}{5}x$$. The fixed points are 0 and $$\sqrt6$$. There is a period-2 orbit of 1 and -1. The critical points are $$\sqrt\frac{7}{6}$$
a. calculate the Schwarzian derivative
$$sg(x)=\frac{-144x^2-84}{(6x^2-7)^2}$$<0 for all x
b.The point$$x0=\sqrt{7/6}$$ belongs to the basin of attraction of which orbit? What about $$-\sqrt{7/6}$$?
I have no idea what to do for part b...