Apply the Newton-Raphson's method x_n+1 = x_n f '(x_n) / f ''(x_n) to develop a function double findMinMax() that returns a solution that is either a minimum value or a maximum value for z. The program finds a local minimum or a local maximum when the difference between the new solution and the previous one is smaller than 0.00001 within 10000 iterations. Otherwise, it shows Infinity as output.

• Let function z = x⁴+2y⁶ xy x + 2. Show the post-conditions for z.

The preconditions for x and y are shown as below. Feel free to choose an arbitrary initial guess values x₀ and y₀ that meet the following precondition.

• |x| 6 and |y| 5