Newton's Method
Newton's method is a procedure for finding the zero of a function. It works by starting with an initial guess and then approximating the function by its tangent at that point and finding where the tangent crosses the -axis; then using this point as a new guess for the zero and repeating.
Below you can enter a function and choose a starting estimate for the zero of .
Then you can choose how many iterations of Newton's method you would like to see and the graphs of the tangents and their intercepts will appear on the axes. You can see how Newton's method (usually!) converges quite quickly to the zero of