KA Stroud Engr Math 46 - Newton Raphson iterative scheme

In tonight's episode (episode 46), I continued from frame 49 of Program F12 (page 344), where the authors introduced one of the applications of differentiation in numerical analysis: the Newton-Raphson iterative method. I derived this scheme and explained how to utilize it to approximate solutions. Additionally, I reviewed some useful theorems of calculus, including the intermediate value theorem, the mean value theorem, and Rolle's theorem. This concludes Program F12, and we will be commencing Program F13 (Integration) next week. Previous sessions: https://www.youtube.com/watch?v=HEU7m_RppLc&list=PLn0ZvdWhZVXfRYVqT-U32oOyBmwMAh7Re