3) 3x 1 34. f() 33. f(x) = 5x x2 36. h(x) x +1 1 2 - X 35. f(x)x 3 1 2 S 38. g(x) x 37. g(s) = s x + 1 Xx 2 39. f(x)= (2r3 + 5x)(x - 3)(x + 2) 40. f(x) (3-x)(x2 2)(x2 +x - 1) Finding a Derivative of a Trigonometric Function In Exercises 41-56, find the derivative of the trigonometric function. In 1) cos e (0 42. f(0) 41. f(t) 12 sin t sin x cos t 44. f(x) 43. f(t) 11 t 45. f(x) = -x + tan x 46. y x + cot x 47. g(t) i+ 6 csc t 48. h(x) - 12 sec x X 3(1 sin x) sec x 49. у — 50. y 2 cos x X y =cscx - sin x 52. y x sin x + cos x 53. f(x) = x2 tan x 54. f(x) = sinx cos x 55. y 2x sinx + x cos x 56. h(0) = 50 sec 0 0 tan 0 the Finding a Derivative Using Technology In Exercises 57 and 58, use a computer algebra system to find the derivative In the of the function. plify 57. g(x) = x +: - 5) 58. f(x) coS x x + 2 1 sin x

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
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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49

3)
3x 1
34. f()
33. f(x) =
5x
x2
36. h(x) x +1
1
2 -
X
35. f(x)x 3
1
2
S
38. g(x) x
37. g(s) = s
x + 1
Xx
2
39. f(x)= (2r3 + 5x)(x - 3)(x + 2)
40. f(x) (3-x)(x2 2)(x2 +x - 1)
Finding a Derivative of a Trigonometric
Function In Exercises 41-56, find the derivative
of the trigonometric function.
In
1) cos e
(0
42. f(0)
41. f(t) 12 sin t
sin x
cos t
44. f(x)
43. f(t)
11
t
45. f(x) = -x + tan x
46. y x + cot x
47. g(t) i+ 6 csc t
48. h(x)
- 12 sec x
X
3(1 sin x)
sec x
49. у —
50. y
2 cos x
X
y =cscx - sin x
52. y
x sin x + cos x
53. f(x) = x2 tan x
54. f(x) = sinx cos x
55. y 2x sinx + x cos x
56. h(0) = 50 sec 0 0 tan 0
the Finding a Derivative Using Technology In Exercises 57
and 58, use a computer algebra system to find the derivative
In
the
of the function.
plify
57. g(x) =
x +:
- 5)
58. f(x)
coS x
x + 2
1 sin x
Transcribed Image Text:3) 3x 1 34. f() 33. f(x) = 5x x2 36. h(x) x +1 1 2 - X 35. f(x)x 3 1 2 S 38. g(x) x 37. g(s) = s x + 1 Xx 2 39. f(x)= (2r3 + 5x)(x - 3)(x + 2) 40. f(x) (3-x)(x2 2)(x2 +x - 1) Finding a Derivative of a Trigonometric Function In Exercises 41-56, find the derivative of the trigonometric function. In 1) cos e (0 42. f(0) 41. f(t) 12 sin t sin x cos t 44. f(x) 43. f(t) 11 t 45. f(x) = -x + tan x 46. y x + cot x 47. g(t) i+ 6 csc t 48. h(x) - 12 sec x X 3(1 sin x) sec x 49. у — 50. y 2 cos x X y =cscx - sin x 52. y x sin x + cos x 53. f(x) = x2 tan x 54. f(x) = sinx cos x 55. y 2x sinx + x cos x 56. h(0) = 50 sec 0 0 tan 0 the Finding a Derivative Using Technology In Exercises 57 and 58, use a computer algebra system to find the derivative In the of the function. plify 57. g(x) = x +: - 5) 58. f(x) coS x x + 2 1 sin x
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