4. Based on the relation between 9 and h, why is J a more useful choice for measuring distance between functions when compared to the distance function you created in problem 2 ofthe previous section? An important question we want to answer is whether the distance between the actual function f and the approximation f will get bigger or smaller as we change the parameter a. Optimization algorithm. 5. The goal is to change the parameter(s) in such a way that the distance function J gets smaller. a. Assuming the function J has a global minimum, what are the conditions on the rst and second derivatives with respect to a at the minimum point? b. What happens to the value of J as (1 moves away to the left or to the right from where the previous conditions are met