Newton$$s Method for Cube Root of $2$ Write a computer program that accepts a function, its

derivative, an initial guess x$0,$ and implements Newton$$s method within a given tolerance, using the

stopping criterion:

$|$f $($xn$)|+|$xn $$ xn$1|<$ tol

$($You can modify any code provided in class as needed.$)$ Use your program to find the cube root of $2$

with x$0=10$ and a tolerance of $1014.$ Present the iterates