Advanced Root-Finding Methods

This method finds a root by drawing a secant line through the two most recent guess points (xn-1, xn) and finding its x-intercept. It requires two initial guesses.

Iteration (n)xₙ

This method finds a root by drawing a tangent line at the current guess (xn) and finding its x-intercept. It is very fast but requires the function's derivative, f'(x).

Iteration (n)xₙf(xₙ)f'(xₙ)