Newton-Raphson’s Method

Perhaps, in the formulas to find roots, the Newton-Raphson formula is the most widely used. If the initial value of the root is then xi can extend a tangent from the point [x, f (x)] of the curve. The point where this tangent crosses the x-axis represents a better approximation of the root.


From http://www.slideshare.net/nestorbalcazar/mtodos-numricos-03


Example: