Secant Method to find root of any function

Secant Method is a numerical method for solving an equation in one unknown. It is quite similar to Regula falsi method algorithm. One drawback of Newton’s method is that it is necessary to evaluate f´(x) at various points, which may not be practical for some choices of f(x). The secant method avoids this issue by using a finite difference to approximate the derivative. As a result, root of f(x) is approximated by a secant line through two points on the graph of f(x), rather than a tangent line through one point on the graph.

This is a companion discussion topic for the original entry at