Newton Raphson Method to find root of any function

Newton's Method, also known as Newton-Raphson method, named after Isaac Newton and Joseph Raphson, is a popular iterative method to find a good approximation for the root of a real-valued function f(x) = 0. It uses the idea that a continuous and differentiable function can be approximated by a straight line tangent to it.


This is a companion discussion topic for the original entry at http://iq.opengenus.org/newton-raphson-method/