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

Newtons Method A electronic computer ProjectNewtons Method is utilise to find the showtime of an equation provided thatthe die hard fx is equal to zero. Newton Method is an equation created beforethe days of calculators and was used to find approximate roots to numbers. Theroots of the execute are where the function crosses the x axis. The basicprinciple behind Newtons Method is that the root grass be fix by subtractingthe function divided by its differential gear from the initial guess of the root.Newtons Method worked well because an initial guess was minded(p) to putinto the equation. This is important because a legal injury initial guess whitethorn give youthe wrong root for the function. With Mathematica, a program for Newtonsmethod give the sack be produced and a graph of the function can be made. From the graph,the a good initial guess can be made.Although Newtons Method kit and caboodle to find roots for many functions, it doeshave its disadvantages. The root some times cannot be found by using NewtonsMethod. The reason it sometimes cannot be found is because when the function isequal to zero, there is no slope to the tangent line.As seen in experimentations, it is important to select an initial guessclose to the root because some functions have six-fold roots. Failure to choosean initial survey that is close to the root could result in finding a the wrongroot or wasting 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 superlative is placed