How would I go about animating the Newton-Raphson method in Sagemath in a Jupyter notebook?
I have the function
f(x)= 4*x^3 - 4*x -1
which Ive plotted using
plot(f,xmin=-5,xmax=5,ymin=-5,ymax=5)
I have found my root using this code many times for increasing values of f
f1 = f0 - f(f0)/df(f0) ; f1.n()
However my proffessor wants us to animate this method, but Ive never animated something like this before, how would you suggest I go about it?