Use the differentiation rules developed in this section to find the derivatives of the functions in Exercises. Note that it may be necessary to do some preliminary algebra before dif- ferentiating. x² – 1 x4 – 7x3 47. f(x) 48. f(x) = x+1 2x 49. f(x) = 7² 50. f(x) = (/x – Jã)² x² 51. f(x) х — 1 (x + 1)(x + 2) 52. f(x) : Ix7 – 2x4 53. f(x) 54. f(x) = (3x/x)-2 x3 x7 – 3x5 + 4 x³ +x – 1 55. f(x) = 56. f(x) = 1-Зх4 x2 – 7 1 3 x² – 3x 57. f6) = V+() 58. f(x) = x3 x2 – 2x +1 2х — 3 59. f(x) 60. f(x) = x³ /x (x2/3) 5x + 4 1 61. f(x) : 62. f(x) = %3D (х — 2) (х — 3) x2 (x + 1)3 (x – 2)² (x2 + 1)(x – 3) 63. f(x) = 64. f(x) = x3 + 5x2 – 3x

Use the differentiation rules developed in this section to find the derivatives of the functions in Exercises. Note that it may be necessary to do some preliminary algebra before dif- ferentiating. x² – 1 x4 – 7x3 47. f(x) 48. f(x) = x+1 2x 49. f(x) = 7² 50. f(x) = (/x – Jã)² x² 51. f(x) х — 1 (x + 1)(x + 2) 52. f(x) : Ix7 – 2x4 53. f(x) 54. f(x) = (3x/x)-2 x3 x7 – 3x5 + 4 x³ +x – 1 55. f(x) = 56. f(x) = 1-Зх4 x2 – 7 1 3 x² – 3x 57. f6) = V+() 58. f(x) = x3 x2 – 2x +1 2х — 3 59. f(x) 60. f(x) = x³ /x (x2/3) 5x + 4 1 61. f(x) : 62. f(x) = %3D (х — 2) (х — 3) x2 (x + 1)3 (x – 2)² (x2 + 1)(x – 3) 63. f(x) = 64. f(x) = x3 + 5x2 – 3x

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.6: Analyzing Graphs Of Functions

Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.

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