PART 2. Show all your work for each opell answer without supporting work. 11. (15 points) Consider the function f(x) = -2x-3x +36x+4. (a) Find the critical point(s) of f(x). 2x-3x +36x14 -6x-6x 136. Answer: (b) Use either the first-derivative test or the second-derivative test (the choice is yours) to identify whether each critical point found in part (a) results in a local maximum or a local minimum for the original function f(r). Label each critical point as the location of a local maximum/local minimum (whichever is appropriate). Answer: (c) Use calculus to find the global maximum and global minimum of the function f(x) on the interval