Find the third iteration value in finding an extremum (maximum/minimum) value of f(x) = 5sin2x - 4x using Newton's Method with an initial guess value of x = 1.9. Round off your final answer to eight...

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

            f(x) = 5sin2x - 4x

using Newton's Method with an initial guess value of x = 1.9.

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