I am curious if there is a way of using Rolle's theorem to determine the zero of a function? is there any numerical method for it? I am familiar with the basics, When finding the zeros of a function the immediate thought it to set the function equal to zero and solve for x. If the function has more than one root, we know by Rolle's Theorem that the derivative of the function between the two roots must be 0. However, does anyone have any ideas on this?