Calculus
5th Edition
ISBN: 9781429241861
Author: Laura Taalman, Peter Kohn
Publisher: W. H. Freeman
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Question
Chapter 2.4, Problem 31S
To determine
To find: The derivative of given function.
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In Exercises 1–34, find the derivative of the function f by using the rules of differentiation.
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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
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- In Exercises 59–61: a. Find the local extrema of each function on the given interval, and say where they occur. b. Graph the function and its derivative together. Comment on the behavior of ƒ in relation to the signs and values of ƒ′. 59. ƒ(x) = sin 2x, 0 <=x<= pai 60. ƒ(x) = sin x - cos x, 0<= x<=2pai 61. ƒ(x) = sqrt(3 cos x) + sin x, 0<= x<= 2paiarrow_forwardIn Exercises 11–18, graph each function by making a table of coordinates. If applicable, use a graphing utility to confirm your hand-drawn graph. 11. f(x) = 4" 13. g(x) = ()* 15. h(x) = (})* 17. f(x) = (0.6) 12. f(x) = 5" 14. g(x) = () 16. h(x) = (})* 18. f(x) = (0.8)* %3!arrow_forwardIn Exercises 63–65, find the domain and range of each composite function. Then graph the composition of the two functions on separate screens. Do the graphs make sense in each case? Give reasons for your answers. Comment on any differences you see. 63. a. y = tan-1 (tan x) b. y = tan (tan-1 x) 64. a. y = sin-1 (sin x) b. y = sin (sin-1 x) 65. a. y = cos-1 (cos x) b. y = cos (cos-1 x)arrow_forward
- In Exercises 173–176, use theresult of Exercise 172 to find the derivative of the function. h(x)=|x| \cos xarrow_forwardExercises 63–86: Use transformations to sketch a graph of f. 63. f(x) = x² – 3 64. f(x) = -x² 65. f(x) = (x = 5)² + 3 66. f(x) = (x + 4)° 67. flx) = -Vx 68. f(x) = 2(x = 1F + 1 69. f(x) = -x² + 4 70. f(x) = V=x 71. f(x) = |x| – 4 73. f(x) = Vx – 3 + 2 74. f(x) = |x + 2| – 3 72. flx) = Vx + 1 76. flx) = |x| 78. f(x) = 2Vx – 2 - 1 75. f(x) = |2x| 77. f(x) = 1 – Vx 79. f(x) = -Vī - x 81. f(x) = V-(x + 1) 80. f(x) = V-x – 1 82. f(x) = 2 + V-(x – 3) 83. f(x) = (x = 1) 84. f(x) = (x + 2) 85. f(x) = -x' 86. f(x) = (-x)' + 1arrow_forwardIn Exercises 13–16, differentiate the functions and find the slope of the tangent line at the given value of the independent variable. 13. ƒ(x) = x +9/x ,x=-3 14. k(x) = 1/( 2 + x),x=2 15. s = t3 - t2, t = -1 16. (x + 3)/( 1 - x) , x = -2arrow_forward
- In Exercises 69–76, graph each function, not by plotting points, but by starting with the graph of one of the standard functions presented in Figures 1.14–1.17 and applying an appropriate transformation. 69. y = -sqrt(2x + 1) 70. y =sqrt(1-x/2) 71. y = (x - 1)3 + 2 72. y = (1 - x)3 + 2 73. y = 1 /2x - 1 74. y=(2/x2)+1 72. y = (1 - x)3 + 2 75. y = -(x )^(1/3) 76. y = (-2x)^(2/3)arrow_forwardPlease calculate H(x)arrow_forwardT Sketch the midline and the graph of the function f(x) = 1 + 5 sin (7(- - 4) | 4 -5 -4 -3 -2 -1 -1 2 4 6 8. -2 -4 -5 -69- Clear All Draw:/M Ouestion Hol %24 3.arrow_forward
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Chain Rule dy:dx = dy:du*du:dx; Author: Robert Cappetta;https://www.youtube.com/watch?v=IUYniALwbHs;License: Standard YouTube License, CC-BY
CHAIN RULE Part 1; Author: Btech Maths Hub;https://www.youtube.com/watch?v=TIAw6AJ_5Po;License: Standard YouTube License, CC-BY