Use Newton's Method as an Iterative Root-Finding Algorithm for Mathematical Functions

In this video, I am explaining, to derive Newton's method for calculating the root of a function numerically. After that, I use this method for a simple example to get familiar with the recursive formula.

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0:00 Introduction
2:12 Motivation
4:43 Derivation
10:26 Example

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What is your favorite method to calculate the root of a function numerically?