Section 4.2 Contents 27-38. Increasing and decreasing functions Find the intervals on which f is increasing and decreasi

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Section 4 2 Contents 27 38 Increasing And Decreasing Functions Find The Intervals On Which F Is Increasing And Decreasi 1 (54.94 KiB) Viewed 20 times

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)