Newton’s Method
We cannot always solve for the exact value of a solution to an equation. If this is the case, we will need numerical methods to approximate the solution.
Procedure for Newton’s Method:
Suppose we wish to approximate a solution to the equation f(x) = 0.
Graphically, this means that we want the x-intercept of the graph of y = f(x).
The idea behind Newton's Method is to approximate the root (or zero, or solution) by a sequence of numbers. The limit of the sequence is the desired root.
Learn more about Newton's Method by reading the explanation below.
Practice: Apply Newton's Method in the following exercises.