Using the Newton method, you will write a matlab function to find the root of the following equation between $1$and $3.$

f$($x$)=$ x$^3-$x$^2-4$x$+1$

Specifically, you need to find the value of $$in the interval $$such that the function is equal to zero $.$

The Newton method starts from an initial guess value $.$ In this case, we pick $$between $1$and $3.$

Write a matlab function named root$\_$newton$$that

takes the parameter x$,$ the initial guess, and returns the value of the calculated root;

applies Newton method iteration until the absolute value of the function at x$\_$root$$is less than $0\mathrm{.}0001.$