Write a (C++ & matlab) program to perform Newtons method:

Newton's To find a solution to f(x) = 0 given an initial approximation Po: INPUT initial approximation po; tolerance TOL; maximum number of iterations No OUTPUT approximate solution p or message of failure. Step 1 Set Step 2 While i s No do Steps 3-6 Step 3 Set p Po f(Po)/f (Po. Compute p) Step 4 If lp pol TOL then OUTPUT (p) (The procedure was successful.) STOP Step 5 Step 6 Set i = i + 1. Set po=p. (Update po.) Step 7 OUTPUT ('The method failed after No iterations, No =, No); (The procedure was unsuccessful.) STOP