Find the third 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 = - 0.38. Round off your final answer to...

Find the third 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 = - 0.38.

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