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GeoGebraGeoGebra Classroom

Introduction to Newton's Method

The following activity will introduce you to Newton's Method, showing you an example on a specific function, and letting you formulate the algorithm to perform Newton's Method.
Spend a minute just playing with the app, what everything does and how it works.In this example, our initial guess at the root of the function is for the function . Hit the reset button, and push the next button until the point appears. Then, continue until appears, and repeat a few times. Question 1: Given one of the points , explain how the next point is found in words. You can write it as a list of steps. Question 2: Next, we want to write this algorithm as an equation. Using mathematical notation, if we know the value of , what will the recursive formula for be?