The Newton-Raphson method is a technique for approximating the roots of a continuous and
differentiable function that uses the tangent line to the function at each iteration. The method aims to
quickly find a good approximation for the root of the function by approximating it with a straight line that
is tangent to the function. This method is also known as Tangent Method. Newton Raphson method falls
under Non-Bracketing method.
The Newton-Raphson method is an iterative method, and its convergence can be very fast if the function
f(x) is well-behaved and the initial guess x1 is sufficiently close to the true root. However, the method may
fail to converge or converge to a wrong root if the function has a complicated behavior or if the initial
guess is far from the true root. Therefore, it is important to carefully choose the initial guess and to check
the convergence of the method.
