Assume that $g$ is a continuously differentiable function and that the Fixed-Point Iteration $g(x)$ has exactly three fixed points, $-3, 1$ and $2$. Assume that $g '(-3) = 2.4$ and that FPI started sufciently near the fixed point $2$ converges to $2$. Find $g'(1)$.
Having trouble doing this.
Thank you for the help!