Newton's Method

Newton's Method is an algorithm used to find approximate solutions to equations, especially when solving for where a function equals zero. It starts with an initial guess and then uses the function's slope (derivative) at that point to refine the estimate. By drawing a tangent line at the current guess and finding where it intersects the x-axis, the method updates the guess to this new point. Repeating this process rapidly converges to an accurate solution, making it a powerful tool in numerical analysis for solving complex equations efficiently.