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...
Related questions
Question
39,47
Transcribed Image Text:17. f(x) = 4x2 – 2x + 3
23. y = – 2x +3
In the functions.
Section 11.2 Rub
PROBLEMS 112
61. y xx
63. f(x)= x(3x-10x +7)
2/3
4. f(x) = x21
65. f(x) = x'(3x
6. y = x2.1
67. v(x) = x23x+5)
8. y = 4x
+ 2) when r = 2.
3g +4q-2
10. v(x) = x
%3D
= (b)f69
b.
71. f(x) = (x-)x+2)
atiate each term:
7. S(x) = 9x2
12. f(p) = /3p*
%3D
Qr² +4x
9. g(w) = 8w7
- 10(2x) +4(1)
14. y =
73. w(x) =
%3D
%3D
16. f(x) = 5x e
%3D
Or+ 4
13. S1) = 25
For each curve in Problems 75
%3D
+x= (x)/
points.
20(2) +4 = -12
18. F(x) = 5x² – 9x
%3D
-
75. y = 3x +4x- 8;(0,-8).
76. y=3+5x- 3x; (0,3), 0
|
Now Work Problem 75
20. f(1) = -13t2 + 14t +1
22. y=-8x + In 2
19. g(p) = p* – 3p³ - 1
77. y=4; when x =-4,x =
|
of a Tangent Line
78. y = 3x-4 x, when x =
In Problems 79-82, find an ea
curve at the indicated point.
rve
26. v(1) = e(1" – 53)
25. f(x) = 2(13 – x+4)
13 - x4
%3D
- 2
(9 - x)
2.
79. y = 4x +5x+6; (1, 15
%3D
28. f(x) =
%3D
= (x)8 2
3.
81. y= =:(2.)
%3D
9x2
+ 8x
83. Find an equation of the
-
5
%3D
29. h(x) = 4x + x3
5.
3
slope of the tangent line at any point.
y =
20 kx) = -2x +x+11 31. f(x)
of the required tangent line. We then
when x = 0.
2x
33. f(x) = x³/5
%3D
he curve when x = 1. Finally, we
84. Repeat Problem 83 fo
%3D
3.
35. y = x/4 +2x5/3
es of the point in point-slope form to
%3D
37. y = 11
%3D
34. f(x) = 2x-14/5
|
36. y = 4x² – x-3/5
%3D
%3D
we have
when x = 4.
41. f(x) = x-6
%3D
85. Find all points on th
40. y = 4VX²
43. f(x) = x-3+x-5- 2r-6
-2r-1
1.
45. y =
42. f(s) = 2s-3
44. f(x) = 100x3 + 10x'/2 45. y =
where the tangent line i
8.
47. y =
5
%3D3+
86. Repeat Problem 85
3.
st
= 1 is
%3D
= (x)f '9}
4.
49. g(x)
1.
48. y = 7
%D
5
87. Find all points on
3.
51. f(t) = 3
%3D
5t3
ve where x = 1, we evaluate
50. y
%3D
where the slope is 1.
%3D
= (x)8 "7S
54. O(x) =-
= (x)f
%3D
88. Repeat Problem
%3D
3.
%3D
gent line. Therefore, an equation
+x = (x)/ JI *68
3.
58. f(x) =
6. f(2) = 5z/4 – 62 – 8z/4
|
%3D
%3D
= (x)b LS
1.
60. y =
2.
ow Work Problem 81 4
少
Expert Solution
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We know that the power rule of the differentiation
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