Newton's Method Geometrical Interpretation

Newton's Method Geometrical Interpretation

At the current approximation $$x_n$$, the tangent to:

$$y=f(x)$$

is used to obtain the next x-intercept:

$$x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)}$$

Usage

- Used to understand the iterative nature and convergence behaviour of Newton's method.