Lesson: Newton–Raphson Method Mathematics

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In this lesson, we will learn how to use the Newton–Raphson method to approximate the solutions of equations of the form f(x) = 0.

Students will be able to

recall the Newton–Raphson formula,
understand how the Newton–Raphson method approximates the values of roots of a function,
understand why the chosen starting value in the Newton–Raphson method is important,
use the Newton–Raphson method to prove that a root of an equation lies in a given interval,
use the Newton–Raphson method to approximate roots of equations.