in Section 11.2 Rules for Differentiation 507 the functions. 61. y = x'x 2. f(x) = (9)/ 2/3 %3D 62. f(x) = (2x³)(4x²) 63. f(x) = x(3x² – 10x +7) 4. f(x) = x²1 64. f(x) = x³(3xo – 5x2 + 4) 65. f(x) = x'(3x)² %3D 66. s(x) = /x(Jx+7x +2) %3D 6. y = x2.1 67. v(x) = x-2/3 (x+5) %3D 68. f(x) = x/5 (x² +7x + 11) 8. y = 4x3 %3D 3q² + 4q - 2 = (b)f '69 71. f(x) = (x – 1)(x+2) w - 5 10. v(x) = xe 70. f(w) = Ws %3D 12. ƒ(p) = /3p* 72. f(x) = x²(x – 2)(x+4) | |3| x² + x3 14. y= 7 73. w(x) = 74. f(x) = x + çXL %3D %3D For each curve in Problems 75–78, find the slopes at the indicated points. 16. f(x) = 5x- e 8. F(x) = 5x2 - 9x 75. y = 3x² +4x – 8; (0, –8), (2, 12), (–3,7) 76. y = 3+5x – 3x²; (0, 3), (§, 4), (2, – 11) %3D | 20. f(t) = -1312+ 141 + 1 - 2. y =-8x+ In 2 77. y = 4; when x = -4, x = 7,x = 22 %3D %3D %3D 78. y = 3x - 4x; when x = 4,x = 9,x = 25 %3D %3D In Problems 79-82, find an equation of the tangent line to the curve at the indicated point. (1) = e(1-53) ;(4,-3) 05 | %3D 79. y= 4x² + 5x + 6; (1, 15) 80. y= = (x) 2. 82. y = -x; (8, -2) %3D 81. y =; (2, ) %3D 83. Find an equation of the tangent line to the curve 3. y = 3 + x – 5x² +x* %3D + = (x)/ when x = 0. S/= (x)/ %3D 84. Repeat Problem 83 for the curve VI(2 – x²) %3D %3D %3D when x = 4. 85. Find all points on the curve 5. 9r= (x). %3D where the tangent line is horizontal. Reneat Problem 85 for the curve
in Section 11.2 Rules for Differentiation 507 the functions. 61. y = x'x 2. f(x) = (9)/ 2/3 %3D 62. f(x) = (2x³)(4x²) 63. f(x) = x(3x² – 10x +7) 4. f(x) = x²1 64. f(x) = x³(3xo – 5x2 + 4) 65. f(x) = x'(3x)² %3D 66. s(x) = /x(Jx+7x +2) %3D 6. y = x2.1 67. v(x) = x-2/3 (x+5) %3D 68. f(x) = x/5 (x² +7x + 11) 8. y = 4x3 %3D 3q² + 4q - 2 = (b)f '69 71. f(x) = (x – 1)(x+2) w - 5 10. v(x) = xe 70. f(w) = Ws %3D 12. ƒ(p) = /3p* 72. f(x) = x²(x – 2)(x+4) | |3| x² + x3 14. y= 7 73. w(x) = 74. f(x) = x + çXL %3D %3D For each curve in Problems 75–78, find the slopes at the indicated points. 16. f(x) = 5x- e 8. F(x) = 5x2 - 9x 75. y = 3x² +4x – 8; (0, –8), (2, 12), (–3,7) 76. y = 3+5x – 3x²; (0, 3), (§, 4), (2, – 11) %3D | 20. f(t) = -1312+ 141 + 1 - 2. y =-8x+ In 2 77. y = 4; when x = -4, x = 7,x = 22 %3D %3D %3D 78. y = 3x - 4x; when x = 4,x = 9,x = 25 %3D %3D In Problems 79-82, find an equation of the tangent line to the curve at the indicated point. (1) = e(1-53) ;(4,-3) 05 | %3D 79. y= 4x² + 5x + 6; (1, 15) 80. y= = (x) 2. 82. y = -x; (8, -2) %3D 81. y =; (2, ) %3D 83. Find an equation of the tangent line to the curve 3. y = 3 + x – 5x² +x* %3D + = (x)/ when x = 0. S/= (x)/ %3D 84. Repeat Problem 83 for the curve VI(2 – x²) %3D %3D %3D when x = 4. 85. Find all points on the curve 5. 9r= (x). %3D where the tangent line is horizontal. Reneat Problem 85 for the curve
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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Question
75,81
Transcribed Image Text:in
Section 11.2 Rules for Differentiation
507
the functions.
61. y = x'x
2. f(x) = (9)/
2/3
%3D
62. f(x) = (2x³)(4x²)
63. f(x) = x(3x² – 10x +7)
4. f(x) = x²1
64. f(x) = x³(3xo – 5x2 + 4)
65. f(x) = x'(3x)²
%3D
66. s(x) = /x(Jx+7x +2)
%3D
6. y = x2.1
67. v(x) = x-2/3 (x+5)
%3D
68. f(x) = x/5 (x² +7x + 11)
8. y = 4x3
%3D
3q² + 4q - 2
= (b)f '69
71. f(x) = (x – 1)(x+2)
w - 5
10. v(x) = xe
70. f(w) =
Ws
%3D
12. ƒ(p) = /3p*
72. f(x) = x²(x – 2)(x+4)
|
|3|
x² + x3
14. y= 7
73. w(x) =
74. f(x) =
x + çXL
%3D
%3D
For each curve in Problems 75–78, find the slopes at the indicated
points.
16. f(x) = 5x- e
8. F(x) = 5x2 - 9x
75. y = 3x² +4x – 8; (0, –8), (2, 12), (–3,7)
76. y = 3+5x – 3x²; (0, 3), (§, 4), (2, – 11)
%3D
|
20. f(t) = -1312+ 141 + 1
-
2. y =-8x+ In 2
77. y = 4; when x = -4, x = 7,x = 22
%3D
%3D
%3D
78. y = 3x - 4x; when x = 4,x = 9,x = 25
%3D
%3D
In Problems 79-82, find an equation of the tangent line to the
curve at the indicated point.
(1) = e(1-53)
;(4,-3)
05
|
%3D
79. y= 4x² + 5x + 6; (1, 15) 80. y=
= (x)
2.
82. y = -x; (8, -2)
%3D
81. y =; (2, )
%3D
83. Find an equation of the tangent line to the curve
3.
y = 3 + x – 5x² +x*
%3D
+ = (x)/
when x = 0.
S/= (x)/
%3D
84. Repeat Problem 83 for the curve
VI(2 – x²)
%3D
%3D
%3D
when x = 4.
85. Find all points on the curve
5.
9r= (x).
%3D
where the tangent line is horizontal.
Reneat Problem 85 for the curve
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