Newton's Method - More Examples Part 2 of 3

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Uploaded by on May 3, 2011

Newton's Method - More Examples Part 2 of 3. Here I give the Newton's Method formula and use it to find two iterations of an approximation to a point of intersection of two functions. I do NOT discuss the geometric idea of Newtons method in this video (I do this in my more viewed video titled simply ' Newton's Method)

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  • @gouzbekistan1 this method is applied in numerical calculus where you cannot compute the exact root of the function but you know that this function admits finite derivative different from 0 in the neighbourhood of the solution. it permits obtaining very quick an approximation for the solution of the equation. Hope it helped if you haven`t found out already about this algorithm.

  • @fldoughboy72 then why does newton's method even exist? when we can do it so easily?

  • @gouzbekistan1 Cause then it would be off topic. He's showing us a different method.

    The answers to the quadratic equation are 1+ root(6) and 1- root (6). Not sure how those answers even correlate to the Newton Method. Those are the intersections of those two lines.

  • i have a question: why bother doing all this to find approximations of the x-value when you could just solve the quadratic equation and arrive at the answer straight away?

  • W000T! Nice!! Thank you so much!

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