Newton's method back in A level

[MathTutor]

Newton's method is a very popular method for solving equations.
Outstandingly, it remains one of the most efficient methods of all time.

• Its formula is simple and easy to apply.
  x_k+1=x_k-f(x_k)/f'(x_k), where f is the function and f' is its derivative.
• It is fast, solutions obtained in few iterations
• It can be derived graphically (tangent intersection with x-axis)
• It produces beautiful pictures which are fractals (when zoom in we get similar patterns) Kindly download

However, it has been removed from the syllabus.
We must pay tribute to the great genius Newton and his wonderful method.
Kindly give your comments.