Hey guys.. I just finished doing this project for my calculus class where I had to use excell to create an algorithm that found iterations of a function until its zero was found. I figured out the algorithm and how to input it in excell. The only problem I have now is that there is a second part of the assignment where I have to "Explain approximating zeros using tangent iterations and the connection of computer algorithm algebraically and graphically".

I have no idea what to write, could someone guide me into the right direction please?

chilledz3non
Oct 27, 2015

#2**+10 **

Here's a good explanation of this.......http://tutorial.math.lamar.edu/Classes/CalcI/NewtonsMethod.aspx

Basically, we're picking [ guessing] some point on a curve, drawing a tangent line to the curve at that point, and then using the coordinate of the x intercept of this tangent line as our next "guess." Then, we repeat the process to get the next x-intercept point, etc. As long as the derivative exists in each case [ and is non-zero ], we should arrive at a pretty good approximation of the solution to our function after several iterations.

CPhill
Oct 27, 2015

#2**+10 **

Best Answer

Here's a good explanation of this.......http://tutorial.math.lamar.edu/Classes/CalcI/NewtonsMethod.aspx

Basically, we're picking [ guessing] some point on a curve, drawing a tangent line to the curve at that point, and then using the coordinate of the x intercept of this tangent line as our next "guess." Then, we repeat the process to get the next x-intercept point, etc. As long as the derivative exists in each case [ and is non-zero ], we should arrive at a pretty good approximation of the solution to our function after several iterations.

CPhill
Oct 27, 2015