Copy of Fixed Point Iteration: Newton-Raphson (Newton's Method)

Numerical method for finding roots of [math]f(x)=0[/math]
Newton-Raphson is an iterative numerical method for finding roots of [math]f(x)=0[/math].[br]It uses the iterative formula [math]x_{n+1}=x_n-f(x_n)/f'(x_n)[/math][br][br][list][br][*]Input a function and press enter[br][*]Select your choice of [math]x_0[/math] by dragging the point along the x-axis[br][*]Zoom the axes if required, using the sliders[br][*]Use the Iterations slider to change the number of iterations (max 50)[br][*]To switch off "snap to grid" so that [math]x_0[/math] moves more continuously, click Options, Point Capturing, Off.[br][/list][br]Made and shared by Micky Bullock [url]www.mickybullock.com[/url][br][br]Download the ggb file to run in GeoGebra: [url]http://geogebratube.com/material/download/format/file/id/41271[/url]

Information: Copy of Fixed Point Iteration: Newton-Raphson (Newton's Method)