Newtons Method: A Computer Project :: Newton-Raphson Method

Newtons manner A Computer ProjectNewtons manner is apply to muster up the starting time of an equation provided thatthe function fx is equal to zero. Newton Method is an equation created beforethe days of calculators and was used to find approximate grow to numbers. The parentages of the function are where the function crosses the x axis. The basic tenet behind Newtons Method is that the root can be found by subtractingthe function divided by its derivative from the initial deduct of the root.Newtons Method worked well because an initial guess was given to putinto the equation. This is important because a wrong initial guess may give youthe wrong root for the function. With Mathematica, a program for Newtonsmethod can be produced and a chart of the function can be made. From the graph,the a good initial guess can be made.Although Newtons Method works to find roots for some functions, it doeshave its disadvantages. The root sometimes cannot be found by apply NewtonsMethod. The reason it sometimes cannot be found is because when the function isequal to zero, in that respect is no slope to the tangent line.As seen in experimentations, it is important to allot an initial guess sloshed to the root because some functions have quadruplex roots. Failure to choosean initial value that is close to the root could topic in finding a the wrongroot or atrophy a lot of time doing multiple iterations while getting close tothe actual root.On some occasions, the program cannot find a root to an initial guessthat is placed into the program. In some instances Mathmatica could not findthe root to the function, like if it is a parabola with its vertex is placed