Part one of term paper
Newton's Method is used to find the root of an equation provided that the function f[x] is equal to zero. Newton Method is an equation created before the days of calculators and was used to find approximate roots to numbers. The roots of the function are where the function crosses the x axis. The basic principle behind Newton's Method is ...

Part two of term paper
... for Newton's method can be produced and a graph of the function can be made. From the graph, the a good initial guess can be made. Although Newton's Method works to find roots for many functions, it does have its disadvantages. The root sometimes cannot be found by using Newton's Method. The reason it sometimes cannot be found is because when the function is equal to zero, there is no slope to the tangent line. As seen in experimentation's, it is important to select an initial guess close ...