23-42 Find f. 23. f"(x) 20xr'-12x + 6x 24. f"(x) x - 4x +x + 1 25. f"(x) = 4 - 26. f"(x) x/3+x/3 27. f"(t) = 12 + sin t 28. f"(1) = Vi- 2 cos t %3D 29. f'(x) = 1 + 3/x, f(4) = 25 30. f'(x) = 5x - 3x + 4, f(-1) = 2 31. f'(x) = /x (6 + 5x), f(1) = 10 32. f'(t) =1 + 1/r, t> 0, f(1) = 6 33. f'(t) = sect (sec t + tan t), -T/2 <1 < T/2, S(T/4) = -1 34. f'(x) = (x + 1)//x, f(1) = 5 35. f"(x) = -2 + 12x - 12x, f(0) = 4, f'(0) = 12 36. f"(x) = 8r'+ 5, f(1) = 0, f'(1) = 8 37. f"(0)= sin 0 + cos 0, f(0) = 3, f"(0) =4 38. "(1) = 4 - 6/r, f(1) = 6, f(2) = 9, 120 39. "(x) - 4 + 6x + 24x, S(0) = 3, f(1)- 10 40. f"(x)- 20x' + 12x + 4, /(0) – 8, f(1) = 5 41. "(1)- VI = cost, (0) = 2. (1) - 2 42. (x)=coS E /(0) - 17(0) – 2 (0) = 3

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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23-42 Find f.
23. f"(x) 20r' 12x2 + 6x
24. f"(x) x°- 4x +x + 1
25. f"(x) = 4 -
26. f"(x) x/3+x/3
27. f"(t) = 12 + sin t
28. f"(t) = i- 2 cos t
%3D
29. f'(x) = 1 + 3/x, f(4) = 25
30. f'(x) = 5x* - 3x + 4, f(-1) = 2
31. f'(x) = /x (6 + 5x), f(1) = 10
32. f'(t) = 1 + 1/r, t> 0, f(1) = 6
33. f'(t) = sect (sec t + tan t), -T/2 <1 < T/2,
S(1/4) = -1
34. f'(x) = (x + 1)/Vx, f(1) = 5
35. f"(x) = -2 + 12x - 12x, f(0) = 4, f'(0) = 12
36. f"(x) 8r'+ 5, f(1) = 0, f'(1) = 8
37. f"(0)= sin 0 + cos 0, f(0) = 3, f'(0) =4
38. "(1) = 4 6/r, f(1) = 6, f(2) = 9, 120
39. "(x) - 4 + 6x + 24x, (0) = 3, f(1)- 10
40. "(x)- 20x' + 12x + 4, /(0) – 8, f(1) = 5
41. "(1)- VI = cost, (0) = 2. (1) - 2
42. (x)=cOS E /(0) - 1 7(0) – 2 7(0) = 3
Transcribed Image Text:23-42 Find f. 23. f"(x) 20r' 12x2 + 6x 24. f"(x) x°- 4x +x + 1 25. f"(x) = 4 - 26. f"(x) x/3+x/3 27. f"(t) = 12 + sin t 28. f"(t) = i- 2 cos t %3D 29. f'(x) = 1 + 3/x, f(4) = 25 30. f'(x) = 5x* - 3x + 4, f(-1) = 2 31. f'(x) = /x (6 + 5x), f(1) = 10 32. f'(t) = 1 + 1/r, t> 0, f(1) = 6 33. f'(t) = sect (sec t + tan t), -T/2 <1 < T/2, S(1/4) = -1 34. f'(x) = (x + 1)/Vx, f(1) = 5 35. f"(x) = -2 + 12x - 12x, f(0) = 4, f'(0) = 12 36. f"(x) 8r'+ 5, f(1) = 0, f'(1) = 8 37. f"(0)= sin 0 + cos 0, f(0) = 3, f'(0) =4 38. "(1) = 4 6/r, f(1) = 6, f(2) = 9, 120 39. "(x) - 4 + 6x + 24x, (0) = 3, f(1)- 10 40. "(x)- 20x' + 12x + 4, /(0) – 8, f(1) = 5 41. "(1)- VI = cost, (0) = 2. (1) - 2 42. (x)=cOS E /(0) - 1 7(0) – 2 7(0) = 3
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