We can also derive this formula by using Taylors Theorem. The NewtonRaphson method was derived under the assumption that fx 0 implying in particular that fa 0. Newton-Raphson Method One Numerical Method For Calculating The Root Of An Equation Is Called Newton-Raphson Method.
Also it can locate roots repeatedly because it does not clearly see changes in the sign of f x explicitly.
The Solution Process Starts By Choosing A Value Xi As A First Estimate Of The Solution. Solve the equation logxcosx where the root lies between 1 and 2. F x 0 f x 0. F x 0.