The NewtonRaphson method is the most popular method for solving nonlinear equations. This method is, in general,
very suitable for its convenience and computation efficiency.
The NewtonRaphson method uses the following iteration relation:
x_{n + 1} = x_{n}  f (x_{n}) / f '(x_{n}) 
Where f '(x_{n}) is the first derivative of function f(x).
Starting with the initial value, x_{n}, it is possible to find the next guess, x_{n + 1}, by
using the above iteration relation. This process can be repeated until the solution within a given tolerance is found.
