Exercise 2: (20 points) We wish to graph a function and a corresponding tangent line. Consider f (2) = 24- 3202 + x a. (5 points) How many local extrema does the function have? b. (5 points) The tangent line in P(0/0) has the slope 1. What is the equation of the tangent line? c. (5 points) Graph both the function and the tangent line. Write down the matlab command that you used. d. (5 points) Does the tangent line and the graph of f intersect at different points? If so, find the intersection points graphically (one digit accuracy)