Newton's method
Newton's method is a powerful technique used to find the roots of a Differentiable function, which is a fundamental concept in Mathematics. This method was developed by Isaac Newton and is also known as the Newton-Raphson method. It is an iterative method that uses an initial guess to find the root of a function, and it is widely used in various fields such as Physics, Engineering, and Computer science. The method is based on the idea of linear approximation, where the function is approximated by a Plane that is tangent to the function at the current estimate of the root. The method then uses this approximation to make a new estimate of the root, and this process is repeated until the desired level of accuracy is achieved. Newton's method is a key concept in Numerical analysis and is used to solve Equations that cannot be solved analytically.