The Newton-Raphson method is a technique for finding the roots of $x$ where $f(x)=0$. This method can be summarized as follows. A similar approach can be used to find the minimum or maximum values of $f(x)$. To do this, a new function is defined. This method, similar to the Newton-Raphson approach, is an open method, so it does not requre initial estimates that bracket the optimum. Additionally,..