## Brief Explanation

What you see here is the complex plane. The center is the origin and the upper right
corner is the complex point 2 + 2*i*. The lower left corner is the complex point -2 -
2*i*. The three black points are the complex roots of *x*^{3} - 1. The
colors indicate to which root Newton's method will gravitate. **You can click anywhere
and see 5 iterations of Newton's method.** (Some might be off the screen.) More tools
will be added later.

*f*(*x*) = *x*^{3} - 1
(The equation)

N(*x*) = (2*x*^{3}+1)/(3*x*^{2})
(Newton's iterate function)

N'(*x*) = 2(*x*^{3}-1)/(3*x*^{3})
(The derivative of N)

### A DERIVE Plot of the Level Curves: |N'(*a* + *ib*)| = *c*