Calculus
5th Edition
ISBN: 9781429241861
Author: Laura Taalman, Peter Kohn
Publisher: W. H. Freeman
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Concept explainers
Question
Chapter 2.3, Problem 51S
To determine
To find: the derivative of the given function.
Expert Solution & Answer
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In Exercises 31–34, find the slope of the tangent line to the
graph of the given function at the given value of x. Find the
equation of the tangent line in Exercises 31 and 32.
32. y = -3x5 – &r + 4x2; x = 1
In Exercises 33–46, find the derivative.
In Exercises 41 – 46, confirm your results with a graphing utility.
41. For the function f(x)= x³ + 2x – 4, find:
The slope of the tangent line at x = -1.
b. The equation of the tangent line at x = -1.
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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- 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, xsbarrow_forwardUse 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 2xarrow_forwardIn Exercises 173–176, use theresult of Exercise 172 to find the derivative of the function. h(x)=|x| \cos xarrow_forward
- In Exercises 29–32, compute the derivative at the point indicated without using a calculator.arrow_forwardIn Exercises 45–74, compute the derivative using derivative rules that have been introduced so far.arrow_forwardIn Exercises 7–12, use the Quotient Rule to calculate the derivative.arrow_forward
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