Find the fourth iteration value in finding an extremum (maximum/minimum) value of f(x) = 5sin2x - 2x 2 using Newton's Method with an initial guess value of x = 0.2. Round off your final answer to nine...

Find the fourth iteration value in finding an extremum (maximum/minimum) value of

            f(x) = 5sin2x - 2x²

using Newton's Method with an initial guess value of x = 0.2.

Round off your final answer to nine decimal places but do not round off on preliminary calculations.