The derivative required for the Newton Raphson method is given by f (1)(x) = 3x2 − 12x + 8 and the Newton Raphson uses the algorithm (4.5)xb=xg−xg3−6xg2+8xg+0.83xg2−12xg+8 Depending on the starting guess value the Newton Raphson method yields one of the three roots. ...