NUMBER 36, 38, 40, 42, 44 ONLY

Find all critical numbers of the functions in Exercises 35-46. Then use the second-derivative test on each critical number to determine whether it leads to a local maximum or minimum. (See Example 6.) 35. f(x) = -2x3 - 3x2 - 72x + 1 36. f(x) = 2 X 37. f(x) = x +-x2 - 60x + 100 38. f(x) = (x - 3)5 39. f(x) = x4 - 8x2 40. f(x) = x4 - 32x2 + 7 1 41. f ( x) = x + 42. f(x) = x- 1 2 *+ 9 43 . f (x ) 44. f ( x ) 12 + 16 2x 2x 2 - X 46. f(x) = x +2 45. f(x) 2+ x x - 1