Problem:
Using Newton's method with the initial point x=2, find the root of the equation

f(x) = x3 + 5 x - 4.


Visualization:
Using Microcalc:

  1. Choose Intermediate Calculus from the initial menu and press .
  2. Use the arrow keys to move to the menu item Newton-Raphson, press and .
  3. At the prompt F(x) =, enter the formula
    x^3+5x-4
  4. Enter the initial point at the prompt x_0 =
    2 .
  5. At each press of , you will see the results of an application of Newton's method; for example, after eight iterations, you will see