Please #21-47 ONLY ODD

Intervals on Which f Is Increasing or Decreasing In Exercises 21-28, identify the open intervals on which the function is increasing or decreasing. 21. f(x) = x2 + 3x - 12 22. h(x) = (x+2)1/3+8 23. f (x) = (x - 1)2(x - 3) 24. 8(x) = (x+ 1)3 25. h(x) = Vx(x - 3), x> 0 26. f(x) = sin x + cos x, [0, 27] 27. f (t) = (2 - 1)2' 28. g(x) = 2x In x Applying the First Derivative Test In Exercises 29-36, (a) find the critical numbers of f (if any), (b) find the open interval(s) on which the function is increasing or decreasing, (c) apply the First Derivative Test to identify all relative extrema, and (d) use a graphing utility to confirm your results. 29. f(x) = x2 - 6x +5 30. f(x) = 4x3 - 5x 31. h(t) = =14 - 8t 32 . 8 ( x )= x3 - 8x 4 33. f (x) = *+ 4 34. f(x) =: x2 - 3x - 4 x 2 x - 2 35. f(x) = cos x - sin x, (0, 2TT) 36. g(x) 3 sin 2 1 ) , [0, 4] Finding Points of Inflection In Exercises 37-42, find the points of inflection and discuss the concavity of the graph of the function. 37. f(x) = x3 - 9x2 38. f(x) = 614 -x2 39. 8(x) = xx+ 5 40. f(x) = 3x - 5x3 41. f(x) = x + cosx, [0, 27] 42. f(x) = tan (0, 2TT ) Using the Second Derivative Test In Exercises 43-48, find all relative extrema. Use the Second Derivative Test where applicable. 43. f(x) = (x+ 9)2 44. f(x) = 2x3 + 11x2 - 8x - 12 45. g(x) = 2x2(1 - x2) 46. h(t) = t - 4 t+1 47. f(x) = 2x + 18 X 48. h(x) = x - 2 cos x, [0, 47]