Needs to be in r code

3. Newton's Method Use Newton's Method to find the root of the function: f(1) = x3 32 3 Start with Co = 2 and then update the value of x to a better approximation of the root: f(20) 21 = 20 f'(2) where f'(x) = 3x2 3 is the derivative of f(2). Repeat this process with f(en) 2n+1 = In n=0,1,2,... f' an' and stop when n+1 - In