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
1,3,7
Transcribed Image Text:2'
1.
PROBLEMS 11.2
In Problems 1-74, differentiate the functions.
2. f(x) =
61. y=x
%3D
1. f(x) = T
63. f(x)
%3D
1z7 = (x)f *†
65. f(x)=x
5. y= x80
6. y= x2.
67. v(x) = x
%3D
7. f(x) = 9x²
8. y = 4x
10. v(x) = x°
%3D
9. g(w) = 8w7
- = (b)f *69
12. f(p) = /3p*
%3D
g =
0= (x), 'IL
%3D
25
14. y =
73. w(x) =
%3D
= (1)ƒ 'EI
16. f(x) = 5x e
For each cu
%3D
%3D
17. f(x) = 4x2 – 2x + 3
c18. F(x) = 5x² – 9x
75. y = 3x
%3D
%3D
19. g(p) = pª – 3p³ - 1
20. f(t) = -131² + 14t+ 1
76. y = 3-
%3D
- %3D
21. y = x* – x
22. y = -8x + In 2
77. y = 4;
-
23. y = –13x³ + 14x² – 2x + 3
78. y= 3x
%3D
24. V(r)= r³ – 7ro + 3r² + 1
25. f(x) = 2(13 – x*)
In Problem
%3D
curve at the
26. (1) = e(1" – 5³)
%3D
%3D
27. g(x)=
13 - x
79. y = 4x
%3D
5(x - 6)
= (x)f *8
2
%3D
3.
29. h(x) = 4x + x³
%3D
81. y =
9x²
+8x
83. Find a
-
2.
31. f(x) =
30. k(x) = -2x² +x+11
50 3
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