Section 4.2 Contents 27-38. Increasing and decreasing functions Find the intervals on which f is increasing and decreasi
Posted: Tue May 10, 2022 9:07 pm
Section 4.2 Contents 27-38. Increasing and decreasing functions Find the intervals on which f is increasing and decreasing. 27. f(x) = 3 cos 3 x on [--, ] 28. f(x) = COS? xon (-2, ] 29. f(x)= x2(72-4) 30. f(x) =19 - on (-3, 3) 31. f(x) = tan-' 32. f(x) = In x 33. f(x)=-12x + 75 x* - 80 x? 34. f(x)== -2 Inx 35. f(x) = -2 x4 + x2 +10 8x15x2 36. f) + + 8 4 3 2 37. f(x) =re/2 x 38. f(x) = tan +2 39-48. First Derivative Test a. Locate the critical points off. b. Use the First Derivative Test to locate the local maximum and minimum values. c. Identify the absolute minimum and maximum values of the function on the given interval (when they exist). 39. f(x) = x2 + 3 on [-3, 2] 40. f(x)=-* - x+2 on [-4, 41 41. f(x) = x 4- on [-2, 2] 42. f(x) = 2x2 +372 - 12x+1 on (-2,4)