29, 35, 37, 43, 47, 48

please include a chart for all problems (except 29). Use attached chart

Derivative and Graphs (a) 43. /(x) = x4 + 4x + 30 44. /x)=x - 8 + 32 45. /(x ) = (x+ 3) 46. /(x) = (x+ 2) 47. /(x) = (1 - 4)23 48. Ar) = (2 -4)1/3 (b) - ND + + + + ++++ In Problems 49-56, find the intervals on which f(x) is increasing and the intervals on which f(x) is decreasing. Then sketch the graph. Add horizontal tangent lines. [c) 49. /x) = 4+ 8x - 2 + + + + + + + +0+ 50. /(x) = 2 - Br + 9 51. /(x) = x - 3 + 1 (d) 52. f(x) = x3 - 12r + 2 + + + + +++ +ND+ +++++++ 53. A(x) = 10 - 12r + 67 - 1 54. (x) =r+ beta (el +++4+4++ 55. /x) =x - 18x 56. f(x) = -x4 + 50x) (f) In Problems 37-60, we a graphing calculator to approximate the jul + + + + + ++ critical numbers of (x) to two decimal places, Find the inter- vols on which / x) is increasing, the intervals on which fx) is decreasing, and the local extrema. 57. /x)=x - 4 + 9x 58. /x) =x + 5x - 15x ND 59. Arjeri- &x 60. (x) =e - 20 In Problems 6/-68, f(x) is continuous on (-in, ). Use the given information to sketch the graph of f. 61. In Problems 27-32, find (A) f' (x). (B) the partition numbers for f. and (C) the critical numbers of f. 27. Ax) = 1 - 12r + 8 28. Ax) = x - 27x + 30 -2 -1 2 6 -1 1 29. Ax) = I+ 2 30. A(x) = - X - 62. 31. /x) =wa 32. Ax) = 12 In Problems 33-48, find the intervals on which (x) is increasing. the intervals on which Ax) is decreasing, and the local entrema. 33. ((x) = 3x - 12x + 2 34. /(x) = 5x - 10x - 3 -2 2 35. /x) = -2 - 16x - 25 2 36. f(x) = -3x + 12x - 5 63, 37. Ax) = x + 5x + 2 - 0+-+ND 0 38. f(x) = -x - 2x - 5 39. /(x) =x - 3 + 5 4. (x) = -x'+ + 7 41. A(x) = -3x - 91 + 72x +20 -2 42. fix) = 37 +982 - 720x - 15 1(x) 2 2Intervals (-00, - 1) (-1, 1/2) (1/2, 00) Test Value F"(TV) Sign of f"' (test value) Concave up/Concave down