Dynamic of Newton Method for the one-parameter cubic family
Newton's Method in Geogebra for the one-parameter family of cubic polynomial 401 starting points in the interval [-2,2] (slider a) are colored red, blue or green depending on convergence to a root of the cubic polynomial. The color "black" is assigned to a diverging starting point. The convergence criterion is in 25 iterations. The number of converging starting points to a specific root is also given. The maximum and minimum points are also calculated.