3. Write a program to apply the formula f(x+2h)-2f(x+h)+2f(x-h)-f(x-2h) 2h 1 1 to approximate the third derivative of f(x) = sin(2x) at x = 4' 42' respectively. Print out the error in absolute value for each choice of h, and verify that your numerical results have the correct order of accuracy. (10 points) with h = 1 45