# Newton's Method on a Mesh of Initial Guesses

Newton's Method on a Mesh of Initial Guesses

This Demonstration shows the path of 50 iterations of Newton's method from a mesh of starting points attempting to solve the cubic equation ++x+=0. A "featured" initial guess is highlighted in blue. If the absolute value of is less than , no iteration is taken.

c

3

3

x

c

2

2

x

c

1

c

0

f'(x)

-5

10