The Newton-Raphson method is a method to quickly find a good approximation for the root of a function f(x) = 0. It uses the idea that a continuous and differentiable function can be approximated by a straight line tangent to it.

x₁ = x₀– \(\frac{f(x_0)}{f'(x_0)}\)

And the process can be repeated many times

x₁₊₁ = x_n– \(\frac{f(x_n)}{f'(x_n)}\)