1. Use the methods of this section to show that = f(z) _ f(x-h) + O(h). 3. Write a computer program that uses the same derivative approximations as in the previous problem to approximate the first derivative at x = 1 for each of the following functions, using 4,8, 16,32. Verify that the predicted theoretical accuracy is obtained-in other words, show that your results are consistent with the analysis in this section (a) f(x) = VE+1; (b) f(x) - arctanx; (c) f(x)- sin z. (e) f(x)= In x