Calculus
5th Edition
ISBN: 9781429241861
Author: Laura Taalman, Peter Kohn
Publisher: W. H. Freeman
expand_more
expand_more
format_list_bulleted
Question
Chapter 2.5, Problem 45S
To determine
To find: The derivative of the given function.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
In Exercises 1–6, find the domain and range of each function.1. ƒ(x) = 1 + x2 2. ƒ(x) = 1 - 2x3. F(x) = sqrt(5x + 10) 4. g(x) = sqrt(x2 - 3x)5. ƒ(t) = 4/3 - t6. G(t) = 2/t2 - 16
Use Definition 0.10 to show that each pair of functions in
Exercises 67–70 are inverses of each other.
1
2
67. f(x) =2 – 3x and g(x) = -x+ 3
68. f(x) = x² restricted to [0, 0) and g(x) = V
69. f(x) =
and g(x) =
1+x
1-x
1
1
70. f(x) =
and g(x)
2x
2x
Each of Exercises 25–36 gives a formula for a function y = f(x). In
each case, find f-x) and identify the domain and range of f-. As a
check, show that f(fx)) = f-"f(x)) = x.
25. f(x) = x
26. f(x) = x, x20
%3D
%3D
27. f(x) = x + 1
28. f(x) = (1/2)x – 7/2
30. f(x) = 1/r, x * 0
%3D
29. f(x) = 1/x, x>0
x + 3
31. f(x)
32. f(x) =
VE - 3
34. f(x) = (2x + 1)/5
2
33. f(x) = x - 2r, xs1
(Hint: Complete the square.)
* + b
x - 2'
35. f(x) =
b>-2 and constant
36. f(x) = x?
2bx, b> 0 and constant, xsb
Chapter 2 Solutions
Calculus
Ch. 2.1 - Prob. 1TBCh. 2.1 - Prob. 2TBCh. 2.1 - Prob. 3TBCh. 2.1 - Prob. 4TBCh. 2.1 - Prob. 0CCh. 2.1 - Prob. 1CCh. 2.1 - Prob. 2CCh. 2.1 - Prob. 3CCh. 2.1 - Prob. 4CCh. 2.1 - Prob. 5C
Ch. 2.1 - Prob. 6CCh. 2.1 - Prob. 7CCh. 2.1 - Prob. 8CCh. 2.1 - Prob. 9CCh. 2.1 - Prob. 10CCh. 2.1 - Prob. 11CCh. 2.1 - Prob. 12CCh. 2.1 - Prob. 13CCh. 2.1 - Prob. 14CCh. 2.1 - Prob. 15CCh. 2.1 - Prob. 16CCh. 2.1 - Prob. 17CCh. 2.1 - Prob. 18CCh. 2.1 - Prob. 19CCh. 2.1 - Prob. 20CCh. 2.1 - Prob. 21SCh. 2.1 - Prob. 22SCh. 2.1 - Prob. 23SCh. 2.1 - Prob. 24SCh. 2.1 - Prob. 25SCh. 2.1 - Prob. 26SCh. 2.1 - Prob. 27SCh. 2.1 - Prob. 28SCh. 2.1 - Prob. 29SCh. 2.1 - Prob. 30SCh. 2.1 - Prob. 31SCh. 2.1 - Prob. 32SCh. 2.1 - Prob. 33SCh. 2.1 - Prob. 34SCh. 2.1 - Prob. 35SCh. 2.1 - Prob. 36SCh. 2.1 - Prob. 37SCh. 2.1 - Prob. 38SCh. 2.1 - Prob. 39SCh. 2.1 - Prob. 40SCh. 2.1 - Prob. 41SCh. 2.1 - Prob. 42SCh. 2.1 - Prob. 43SCh. 2.1 - Prob. 44SCh. 2.1 - Prob. 45ACh. 2.1 - Prob. 46ACh. 2.1 - Prob. 47ACh. 2.1 - Prob. 48ACh. 2.1 - Prob. 49ACh. 2.1 - Prob. 50ACh. 2.1 - Prob. 51ACh. 2.1 - Prob. 52ACh. 2.1 - Prob. 53ACh. 2.1 - Prob. 54ACh. 2.1 - Prob. 55ACh. 2.1 - Prob. 56ACh. 2.1 - Prob. 57ACh. 2.1 - Prob. 58PCh. 2.1 - Prob. 59PCh. 2.1 - Prob. 1TFCh. 2.1 - Prob. 2TFCh. 2.1 - Prob. 3TFCh. 2.2 - Prob. 1TBCh. 2.2 - Prob. 2TBCh. 2.2 - Prob. 0CCh. 2.2 - Prob. 1CCh. 2.2 - Prob. 2CCh. 2.2 - Prob. 3CCh. 2.2 - Prob. 4CCh. 2.2 - Prob. 5CCh. 2.2 - Prob. 6CCh. 2.2 - Prob. 7CCh. 2.2 - Prob. 8CCh. 2.2 - Prob. 9CCh. 2.2 - Prob. 10CCh. 2.2 - Prob. 11CCh. 2.2 - Prob. 12CCh. 2.2 - Prob. 13CCh. 2.2 - Prob. 14CCh. 2.2 - Prob. 15CCh. 2.2 - Prob. 16CCh. 2.2 - Prob. 17CCh. 2.2 - Prob. 18CCh. 2.2 - Prob. 19CCh. 2.2 - Prob. 20CCh. 2.2 - Prob. 21CCh. 2.2 - Prob. 22CCh. 2.2 - Prob. 23SCh. 2.2 - Prob. 24SCh. 2.2 - Prob. 25SCh. 2.2 - Prob. 26SCh. 2.2 - Prob. 27SCh. 2.2 - Prob. 28SCh. 2.2 - Prob. 29SCh. 2.2 - Prob. 30SCh. 2.2 - Prob. 31SCh. 2.2 - Prob. 32SCh. 2.2 - Prob. 33SCh. 2.2 - Prob. 34SCh. 2.2 - Prob. 35SCh. 2.2 - Prob. 36SCh. 2.2 - Prob. 37SCh. 2.2 - Prob. 38SCh. 2.2 - Prob. 39SCh. 2.2 - Prob. 40SCh. 2.2 - Prob. 41SCh. 2.2 - Prob. 42SCh. 2.2 - Prob. 43SCh. 2.2 - Prob. 44SCh. 2.2 - Prob. 45SCh. 2.2 - Prob. 46SCh. 2.2 - Prob. 47SCh. 2.2 - Prob. 48SCh. 2.2 - Prob. 49SCh. 2.2 - Prob. 50SCh. 2.2 - Prob. 51SCh. 2.2 - Prob. 52SCh. 2.2 - Prob. 53SCh. 2.2 - Prob. 54SCh. 2.2 - Prob. 55SCh. 2.2 - Prob. 56SCh. 2.2 - Prob. 57SCh. 2.2 - Prob. 58SCh. 2.2 - Prob. 59SCh. 2.2 - Prob. 60SCh. 2.2 - Prob. 61SCh. 2.2 - Prob. 62SCh. 2.2 - Prob. 63SCh. 2.2 - Prob. 64SCh. 2.2 - Prob. 65SCh. 2.2 - Prob. 66SCh. 2.2 - Prob. 67SCh. 2.2 - Prob. 68SCh. 2.2 - Prob. 69SCh. 2.2 - Prob. 70SCh. 2.2 - Prob. 71SCh. 2.2 - Prob. 72SCh. 2.2 - Prob. 73SCh. 2.2 - Prob. 74SCh. 2.2 - Prob. 75SCh. 2.2 - Prob. 76SCh. 2.2 - Prob. 77SCh. 2.2 - Prob. 78SCh. 2.2 - Prob. 79SCh. 2.2 - Prob. 80SCh. 2.2 - Prob. 81SCh. 2.2 - Prob. 82SCh. 2.2 - Prob. 83SCh. 2.2 - Prob. 84SCh. 2.2 - Prob. 85SCh. 2.2 - Prob. 86SCh. 2.2 - Prob. 87ACh. 2.2 - Prob. 88ACh. 2.2 - Prob. 89ACh. 2.2 - Prob. 90ACh. 2.2 - Prob. 91ACh. 2.2 - Prob. 92PCh. 2.2 - Prob. 93PCh. 2.2 - Prob. 94PCh. 2.2 - Prob. 95PCh. 2.2 - Prob. 96PCh. 2.2 - Prob. 97PCh. 2.2 - Prob. 98PCh. 2.2 - Prob. 1TFCh. 2.2 - Prob. 2TFCh. 2.2 - Prob. 3TFCh. 2.2 - Prob. 4TFCh. 2.2 - Prob. 5TFCh. 2.3 - Prob. 1TBCh. 2.3 - Prob. 2TBCh. 2.3 - Prob. 3TBCh. 2.3 - Prob. 0CCh. 2.3 - Prob. 1CCh. 2.3 - Prob. 2CCh. 2.3 - Prob. 3CCh. 2.3 - Prob. 4CCh. 2.3 - Prob. 5CCh. 2.3 - Prob. 6CCh. 2.3 - Prob. 7CCh. 2.3 - Prob. 8CCh. 2.3 - Prob. 9CCh. 2.3 - Prob. 10CCh. 2.3 - Prob. 11CCh. 2.3 - Prob. 12CCh. 2.3 - Prob. 13CCh. 2.3 - Prob. 14CCh. 2.3 - Prob. 15CCh. 2.3 - Prob. 16CCh. 2.3 - Prob. 17CCh. 2.3 - Prob. 18CCh. 2.3 - Prob. 19CCh. 2.3 - Prob. 20CCh. 2.3 - Prob. 21CCh. 2.3 - Prob. 22CCh. 2.3 - Prob. 23SCh. 2.3 - Prob. 24SCh. 2.3 - Prob. 25SCh. 2.3 - Prob. 26SCh. 2.3 - Prob. 27SCh. 2.3 - Prob. 28SCh. 2.3 - Prob. 29SCh. 2.3 - Prob. 30SCh. 2.3 - Prob. 31SCh. 2.3 - Prob. 32SCh. 2.3 - Prob. 33SCh. 2.3 - Prob. 34SCh. 2.3 - Prob. 35SCh. 2.3 - Prob. 36SCh. 2.3 - Prob. 37SCh. 2.3 - Prob. 38SCh. 2.3 - Prob. 39SCh. 2.3 - Prob. 40SCh. 2.3 - Prob. 41SCh. 2.3 - Prob. 42SCh. 2.3 - Prob. 43SCh. 2.3 - Prob. 44SCh. 2.3 - Prob. 45SCh. 2.3 - Prob. 46SCh. 2.3 - Prob. 47SCh. 2.3 - Prob. 48SCh. 2.3 - Prob. 49SCh. 2.3 - Prob. 50SCh. 2.3 - Prob. 51SCh. 2.3 - Prob. 52SCh. 2.3 - Prob. 53SCh. 2.3 - Prob. 54SCh. 2.3 - Prob. 55SCh. 2.3 - Prob. 56SCh. 2.3 - Prob. 57SCh. 2.3 - Prob. 58SCh. 2.3 - Prob. 59SCh. 2.3 - Prob. 60SCh. 2.3 - Prob. 61SCh. 2.3 - Prob. 62SCh. 2.3 - Prob. 63SCh. 2.3 - Prob. 64SCh. 2.3 - Prob. 65SCh. 2.3 - Prob. 66SCh. 2.3 - Prob. 67SCh. 2.3 - Prob. 68SCh. 2.3 - Prob. 69SCh. 2.3 - Prob. 70SCh. 2.3 - Prob. 71SCh. 2.3 - Prob. 72SCh. 2.3 - Prob. 73SCh. 2.3 - Prob. 74SCh. 2.3 - Prob. 75SCh. 2.3 - Prob. 76SCh. 2.3 - Prob. 77SCh. 2.3 - Prob. 78SCh. 2.3 - Prob. 79ACh. 2.3 - Prob. 80ACh. 2.3 - Prob. 81ACh. 2.3 - Prob. 82ACh. 2.3 - Prob. 83ACh. 2.3 - Prob. 84PCh. 2.3 - Prob. 85PCh. 2.3 - Prob. 86PCh. 2.3 - Prob. 87PCh. 2.3 - Prob. 88PCh. 2.3 - Prob. 89PCh. 2.3 - Prob. 90PCh. 2.3 - Prob. 91PCh. 2.3 - Prob. 92PCh. 2.3 - Prob. 1TFCh. 2.3 - Prob. 2TFCh. 2.3 - Prob. 3TFCh. 2.3 - Prob. 4TFCh. 2.3 - Prob. 5TFCh. 2.4 - Prob. 1TBCh. 2.4 - Prob. 2TBCh. 2.4 - Prob. 0CCh. 2.4 - Prob. 1CCh. 2.4 - Prob. 2CCh. 2.4 - Prob. 3CCh. 2.4 - Prob. 4CCh. 2.4 - Prob. 5CCh. 2.4 - Prob. 6CCh. 2.4 - Prob. 7CCh. 2.4 - Prob. 8CCh. 2.4 - Prob. 9CCh. 2.4 - Prob. 10CCh. 2.4 - Prob. 11CCh. 2.4 - Prob. 12CCh. 2.4 - Prob. 13CCh. 2.4 - Prob. 14CCh. 2.4 - Prob. 15CCh. 2.4 - Prob. 16CCh. 2.4 - Prob. 17CCh. 2.4 - Prob. 18CCh. 2.4 - Prob. 19CCh. 2.4 - Prob. 20CCh. 2.4 - Prob. 21SCh. 2.4 - Prob. 22SCh. 2.4 - Prob. 23SCh. 2.4 - Prob. 24SCh. 2.4 - Prob. 25SCh. 2.4 - Prob. 26SCh. 2.4 - Prob. 27SCh. 2.4 - Prob. 28SCh. 2.4 - Prob. 29SCh. 2.4 - Prob. 30SCh. 2.4 - Prob. 31SCh. 2.4 - Prob. 32SCh. 2.4 - Prob. 33SCh. 2.4 - Prob. 34SCh. 2.4 - Prob. 35SCh. 2.4 - Prob. 36SCh. 2.4 - Prob. 37SCh. 2.4 - Prob. 38SCh. 2.4 - Prob. 39SCh. 2.4 - Prob. 40SCh. 2.4 - Prob. 41SCh. 2.4 - Prob. 42SCh. 2.4 - Prob. 43SCh. 2.4 - Prob. 44SCh. 2.4 - Prob. 45SCh. 2.4 - Prob. 46SCh. 2.4 - Prob. 47SCh. 2.4 - Prob. 48SCh. 2.4 - Prob. 49SCh. 2.4 - Prob. 50SCh. 2.4 - Prob. 51SCh. 2.4 - Prob. 52SCh. 2.4 - Prob. 53SCh. 2.4 - Prob. 54SCh. 2.4 - Prob. 55SCh. 2.4 - Prob. 56SCh. 2.4 - Prob. 57SCh. 2.4 - Prob. 58SCh. 2.4 - Prob. 59SCh. 2.4 - Prob. 60SCh. 2.4 - Prob. 61SCh. 2.4 - Prob. 62SCh. 2.4 - Prob. 63SCh. 2.4 - Prob. 64SCh. 2.4 - Prob. 65SCh. 2.4 - Prob. 66SCh. 2.4 - Prob. 67SCh. 2.4 - Prob. 68SCh. 2.4 - Prob. 69SCh. 2.4 - Prob. 70SCh. 2.4 - Prob. 71SCh. 2.4 - Prob. 72SCh. 2.4 - Prob. 73SCh. 2.4 - Prob. 74SCh. 2.4 - Prob. 75SCh. 2.4 - Prob. 76SCh. 2.4 - Prob. 77SCh. 2.4 - Prob. 78SCh. 2.4 - Prob. 79SCh. 2.4 - Prob. 80SCh. 2.4 - Prob. 81SCh. 2.4 - Prob. 82SCh. 2.4 - Prob. 83SCh. 2.4 - Prob. 84SCh. 2.4 - Prob. 85ACh. 2.4 - Prob. 86ACh. 2.4 - Prob. 87ACh. 2.4 - Prob. 88PCh. 2.4 - Prob. 89PCh. 2.4 - Prob. 90PCh. 2.4 - Prob. 91PCh. 2.4 - Prob. 92PCh. 2.4 - Prob. 93PCh. 2.4 - Prob. 94PCh. 2.4 - Prob. 1TFCh. 2.4 - Prob. 2TFCh. 2.4 - Prob. 3TFCh. 2.4 - Prob. 4TFCh. 2.4 - Prob. 5TFCh. 2.4 - Prob. 6TFCh. 2.4 - Prob. 7TFCh. 2.4 - Prob. 8TFCh. 2.4 - Prob. 9TFCh. 2.4 - Prob. 10TFCh. 2.5 - Prob. 1TBCh. 2.5 - Prob. 2TBCh. 2.5 - Prob. 0CCh. 2.5 - Prob. 1CCh. 2.5 - Prob. 2CCh. 2.5 - Prob. 3CCh. 2.5 - Prob. 4CCh. 2.5 - Prob. 5CCh. 2.5 - Prob. 6CCh. 2.5 - Prob. 7CCh. 2.5 - Prob. 8CCh. 2.5 - Prob. 9CCh. 2.5 - Prob. 10CCh. 2.5 - Prob. 11CCh. 2.5 - Prob. 12CCh. 2.5 - Prob. 13CCh. 2.5 - Prob. 14CCh. 2.5 - Prob. 15CCh. 2.5 - Prob. 16CCh. 2.5 - Prob. 17SCh. 2.5 - Prob. 18SCh. 2.5 - Prob. 19SCh. 2.5 - Prob. 20SCh. 2.5 - Prob. 21SCh. 2.5 - Prob. 22SCh. 2.5 - Prob. 23SCh. 2.5 - Prob. 24SCh. 2.5 - Prob. 25SCh. 2.5 - Prob. 26SCh. 2.5 - Prob. 27SCh. 2.5 - Prob. 28SCh. 2.5 - Prob. 29SCh. 2.5 - Prob. 30SCh. 2.5 - Prob. 31SCh. 2.5 - Prob. 32SCh. 2.5 - Prob. 33SCh. 2.5 - Prob. 34SCh. 2.5 - Prob. 35SCh. 2.5 - Prob. 36SCh. 2.5 - Prob. 37SCh. 2.5 - Prob. 38SCh. 2.5 - Prob. 39SCh. 2.5 - Prob. 40SCh. 2.5 - Prob. 41SCh. 2.5 - Prob. 42SCh. 2.5 - Prob. 43SCh. 2.5 - Prob. 44SCh. 2.5 - Prob. 45SCh. 2.5 - Prob. 46SCh. 2.5 - Prob. 47SCh. 2.5 - Prob. 48SCh. 2.5 - Prob. 49SCh. 2.5 - Prob. 50SCh. 2.5 - Prob. 51SCh. 2.5 - Prob. 52SCh. 2.5 - Prob. 53SCh. 2.5 - Prob. 54SCh. 2.5 - Prob. 55SCh. 2.5 - Prob. 56SCh. 2.5 - Prob. 57SCh. 2.5 - Prob. 58SCh. 2.5 - Prob. 59SCh. 2.5 - Prob. 60SCh. 2.5 - Prob. 61SCh. 2.5 - Prob. 62SCh. 2.5 - Prob. 63SCh. 2.5 - Prob. 64ACh. 2.5 - Prob. 65ACh. 2.5 - Prob. 66ACh. 2.5 - Prob. 67ACh. 2.5 - Prob. 68PCh. 2.5 - Prob. 69PCh. 2.5 - Prob. 70PCh. 2.5 - Prob. 71PCh. 2.5 - Prob. 72PCh. 2.5 - Prob. 73PCh. 2.5 - Prob. 74PCh. 2.5 - Prob. 1TFCh. 2.5 - Prob. 2TFCh. 2.5 - Prob. 3TFCh. 2.5 - Prob. 4TFCh. 2.5 - Prob. 5TFCh. 2.5 - Prob. 6TFCh. 2.5 - Prob. 7TFCh. 2.6 - Prob. 1TBCh. 2.6 - Prob. 2TBCh. 2.6 - Prob. 3TBCh. 2.6 - Prob. 0CCh. 2.6 - Prob. 1CCh. 2.6 - Prob. 2CCh. 2.6 - Prob. 3CCh. 2.6 - Prob. 4CCh. 2.6 - Prob. 5CCh. 2.6 - Prob. 6CCh. 2.6 - Prob. 7CCh. 2.6 - Prob. 8CCh. 2.6 - Prob. 9CCh. 2.6 - Prob. 10CCh. 2.6 - Prob. 11CCh. 2.6 - Prob. 12CCh. 2.6 - Prob. 13CCh. 2.6 - Prob. 14CCh. 2.6 - Prob. 15CCh. 2.6 - Prob. 16CCh. 2.6 - Prob. 17SCh. 2.6 - Prob. 18SCh. 2.6 - Prob. 19SCh. 2.6 - Prob. 20SCh. 2.6 - Prob. 21SCh. 2.6 - Prob. 22SCh. 2.6 - Prob. 23SCh. 2.6 - Prob. 24SCh. 2.6 - Prob. 25SCh. 2.6 - Prob. 26SCh. 2.6 - Prob. 27SCh. 2.6 - Prob. 28SCh. 2.6 - Prob. 29SCh. 2.6 - Prob. 30SCh. 2.6 - Prob. 31SCh. 2.6 - Prob. 32SCh. 2.6 - Prob. 33SCh. 2.6 - Prob. 34SCh. 2.6 - Prob. 35SCh. 2.6 - Prob. 36SCh. 2.6 - Prob. 37SCh. 2.6 - Prob. 38SCh. 2.6 - Prob. 39SCh. 2.6 - Prob. 40SCh. 2.6 - Prob. 41SCh. 2.6 - Prob. 42SCh. 2.6 - Prob. 43SCh. 2.6 - Prob. 44SCh. 2.6 - Prob. 45SCh. 2.6 - Prob. 46SCh. 2.6 - Prob. 47SCh. 2.6 - Prob. 48SCh. 2.6 - Prob. 49SCh. 2.6 - Prob. 50SCh. 2.6 - Prob. 51SCh. 2.6 - Prob. 52SCh. 2.6 - Prob. 53SCh. 2.6 - Prob. 54SCh. 2.6 - Prob. 55SCh. 2.6 - Prob. 56SCh. 2.6 - Prob. 57SCh. 2.6 - Prob. 58SCh. 2.6 - Prob. 59SCh. 2.6 - Prob. 60SCh. 2.6 - Prob. 61SCh. 2.6 - Prob. 62SCh. 2.6 - Prob. 63SCh. 2.6 - Prob. 64SCh. 2.6 - Prob. 65SCh. 2.6 - Prob. 66SCh. 2.6 - Prob. 67SCh. 2.6 - Prob. 68SCh. 2.6 - Prob. 69SCh. 2.6 - Prob. 70SCh. 2.6 - Prob. 71SCh. 2.6 - Prob. 72SCh. 2.6 - Prob. 73SCh. 2.6 - Prob. 74SCh. 2.6 - Prob. 75SCh. 2.6 - Prob. 76SCh. 2.6 - Prob. 77SCh. 2.6 - Prob. 78ACh. 2.6 - Prob. 79ACh. 2.6 - Prob. 80ACh. 2.6 - Prob. 81ACh. 2.6 - Prob. 82ACh. 2.6 - Prob. 83PCh. 2.6 - Prob. 84PCh. 2.6 - Prob. 85PCh. 2.6 - Prob. 86PCh. 2.6 - Prob. 87PCh. 2.6 - Prob. 88PCh. 2.6 - Prob. 89PCh. 2.6 - Prob. 90PCh. 2.6 - Prob. 91PCh. 2.6 - Prob. 92PCh. 2.6 - Prob. 93PCh. 2.6 - Prob. 94PCh. 2.6 - Prob. 95PCh. 2.6 - Prob. 96PCh. 2.6 - Prob. 97PCh. 2.6 - Prob. 98PCh. 2.6 - Prob. 99PCh. 2.6 - Prob. 1TFCh. 2.6 - Prob. 2TFCh. 2.6 - Prob. 3TFCh. 2 - Prob. 1DCh. 2 - Prob. 2DCh. 2 - Prob. 3DCh. 2 - Prob. 4DCh. 2 - Prob. 5DCh. 2 - Prob. 6DCh. 2 - Prob. 7DCh. 2 - Prob. 8DCh. 2 - Prob. 9DCh. 2 - Prob. 10DCh. 2 - Prob. 1TCh. 2 - Prob. 2TCh. 2 - Prob. 3TCh. 2 - Prob. 4TCh. 2 - Prob. 1NDRCh. 2 - Prob. 2NDRCh. 2 - Prob. 3NDRCh. 2 - Prob. 4NDRCh. 2 - Prob. 5NDRCh. 2 - Prob. 6NDRCh. 2 - Prob. 7NDRCh. 2 - Prob. 8NDRCh. 2 - Prob. 9NDRCh. 2 - Prob. 10NDRCh. 2 - Prob. 11NDRCh. 2 - Prob. 12NDRCh. 2 - Prob. 13NDRCh. 2 - Prob. 14NDRCh. 2 - Prob. 15NDRCh. 2 - Prob. 16NDRCh. 2 - Prob. 17NDRCh. 2 - Prob. 18NDRCh. 2 - Prob. 19NDRCh. 2 - Prob. 20NDRCh. 2 - Prob. 21NDRCh. 2 - Prob. 22NDRCh. 2 - Prob. 23NDRCh. 2 - Prob. 24NDRCh. 2 - Prob. 25NDRCh. 2 - Prob. 26NDRCh. 2 - Prob. 27NDRCh. 2 - Prob. 28NDRCh. 2 - Prob. 29NDRCh. 2 - Prob. 30NDRCh. 2 - Prob. 31NDRCh. 2 - Prob. 32NDRCh. 2 - Prob. 33NDRCh. 2 - Prob. 34NDRCh. 2 - Prob. 35NDRCh. 2 - Prob. 36NDRCh. 2 - Prob. 37NDRCh. 2 - Prob. 38NDRCh. 2 - Prob. 39NDRCh. 2 - Prob. 40NDRCh. 2 - Prob. 41NDRCh. 2 - Prob. 42NDRCh. 2 - Prob. 43NDRCh. 2 - Prob. 44NDRCh. 2 - Prob. 45NDRCh. 2 - Prob. 1SCCh. 2 - Prob. 2SCCh. 2 - Prob. 3SCCh. 2 - Prob. 4SCCh. 2 - Prob. 5SCCh. 2 - Prob. 6SCCh. 2 - Prob. 7SCCh. 2 - Prob. 8SCCh. 2 - Prob. 9SCCh. 2 - Prob. 10SCCh. 2 - Prob. 11SCCh. 2 - Prob. 12SCCh. 2 - Prob. 13SCCh. 2 - Prob. 14SCCh. 2 - Prob. 15SCCh. 2 - Prob. 16SCCh. 2 - Prob. 17SCCh. 2 - Prob. 18SCCh. 2 - Prob. 19SCCh. 2 - Prob. 20SCCh. 2 - Prob. 21SCCh. 2 - Prob. 22SCCh. 2 - Prob. 23SCCh. 2 - Prob. 24SCCh. 2 - Prob. 25SCCh. 2 - Prob. 26SCCh. 2 - Prob. 27SCCh. 2 - Prob. 28SCCh. 2 - Prob. 29SCCh. 2 - Prob. 30SCCh. 2 - Prob. 31SCCh. 2 - Prob. 32SCCh. 2 - Prob. 33SCCh. 2 - Prob. 34SCCh. 2 - Prob. 35SCCh. 2 - Prob. 36SCCh. 2 - Prob. 37SCCh. 2 - Prob. 38SCCh. 2 - Prob. 39SCCh. 2 - Prob. 40SCCh. 2 - Prob. 41SCCh. 2 - Prob. 42SCCh. 2 - Prob. ACPCh. 2 - Prob. BCPCh. 2 - Prob. CCPCh. 2 - Prob. DCP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Similar questions
- Exercises 103–110: Let the domain of f(x) be [-1,2] and the range be [0, 3 ]. Find the domain and range of the following. 103. f(x – 2) 104. 5/(x + 1) 105. -/(x) 106. f(x – 3) + 1 107. f(2x) 108. 2f(x – 1) 109. f(-x) 110. -2/(-x)arrow_forwardSometimes a derivative contains negative exponents, andsimplification requires that all exponents be positive.Write each of the expressions in Exercises 46–49 withoutnegative exponents.arrow_forwardIn Exercises 139–142, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. x2 – 25 = x - 5 5 139. X - x? + 7 140. = x? + 1 7 7 domain of f(x) = is x(x – 3) + 5(x - 3) 141. The (-0, 3) U (3, 0). 142. The restrictions on the values of x when performing the division f(x) h(x) g(x) k (x) are g(x) + 0, k(x) # 0, and h(x) + 0.arrow_forward
- a) Find the domain of f, g, f + g, f – & fg, ff, f/ g b) Find (f + g)(x), (f – g)(x), (fg)(x), (ff)(x), For each pair of functions in Exercises 17–32: 15. (8 and g/f. Find f+ g)(x), (f – g)(x), (fg)(x), (ff)(x), (f/8)(x), and (g/f)(x). 17. f(x) = 2x + 3, g(x) = 3 – 5x %3D 18. f(x) = -x + 1, g(x) = 4x – 2 19. f(x) = x – 3, g(x) = Vx + 4 20. f(x) = x + 2, g(x) = Vx – 1 21. f(x) = 2x – 1, g(x) = – 2x² 22. f(x) = x² – 1, g(x) = 2x + 5 23. f(x) = Vx – 3, g(x) : = Vx + 3arrow_forwardIn Exercises15–36, find the points of inflection and discuss theconcavity of the graph of the function. f(x)=\frac{6-x}{\sqrt{x}}arrow_forwardExercises 1-6: Identify f as being linear, quadratic, or neither. If f is quadratic, identify the leading coefficient a and evaluate f(-2). 1. f(x) = 1 – 2x + 3x? 2. f(x) = -5x + 11 3. f(x) = - x 4. f(x) = (x² + 1)² 5. f(x) = } - * 6. f(x) = }r?arrow_forward
- In Exercises 126–131, use a graphing utility to graph each function. Use a [-5, 5, 1] by [-5, 5, 1] viewing rectangle. Then find the intervals on which the function is increasing, decreasing,. or constant. 126. f(x) = x' – 6x² + 9x + 1 127. g(x) = |4 – x²| 128. h(x) = |x – 2| + |x + 2| 129. f(x) = x*(x – 4) 130. g(x) = x 131. h(x) = 2 –arrow_forwardDifferentiate the function of y = (e4x^2+1)3 in two different ways: i.) by differentiating the function without doing any algebra first ii.) by doing as much algebraic simplification as possible beforehandarrow_forwardDetermine whether each of the following statements is true or false, and explain why. The chain rule is used to take the derivative of a product of functions.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Calculus For The Life Sciences
Calculus
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:Pearson Addison Wesley,
Derivatives of Trigonometric Functions - Product Rule Quotient & Chain Rule - Calculus Tutorial; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=_niP0JaOgHY;License: Standard YouTube License, CC-BY