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Applications of the Derivative
Chapter 4 Applications of the Derivative
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4.1 Maxima and Minima
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Figure 4.1
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Figure 4.2 (a & b)
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Figure 4.2 (c & d)
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Figure 4.3
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Figure 4.4
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Figure 4.5
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Figure 4.6
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Figure 4.7
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Figure 4.8 (a & b)
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Figure 4.9 (a)
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Figure 4.9 (b)
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Figure 4.10
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Figure 4.11
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Figure 4.12
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What Derivatives Tell Us
4.2 What Derivatives Tell Us
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Figure 4.13
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Figure 4.14
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Figure 4.15
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Figure 4.16
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Figure 4.17
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Figure 4.18 (a)
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Figure 4.18 (b)
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Figure 4.19
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Figure 4.20
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Figure 4.21
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Figure 4.22
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Figure 4.23
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Figure 4.24
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Figure 4.25
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Figure 4.26
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Figure 4.27 (a & b)
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Figure 4.27 (c & d)
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Figure 4.28 (a)
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Figure 4.28 (b)
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Figure 4.29
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Figure 4.30
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Figure 4.31 (a)
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Figure 4.31 (b)
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Figure 4.32
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Figure 4.33
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Figure 4.34
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4.3 Graphing Functions
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Figure 4.35 (a)
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Figure 4.35 (b)
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continued…
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Graphing Guideline for y = f (x) (continued)
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Figure 4.36
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Figure 4.37
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Figure 4.38
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Figure 4.39
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Figure 4.40
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Figure 4.41
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Table 4.1
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Figure 4.42
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Figure 4.43
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Table 4.2
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Figure 4.44
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Figure 4.45
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Optimization Problems
4.4 Optimization Problems
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Table 4.3
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Figure 4.46
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Figure 4.47
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Figure 4.48
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Figure 4.49
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Figure 4.50
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Figure 4.51
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Figure 4.52
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Figure 4.53
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Figure 4.54 (a)
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Figure 4.54 (b)
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Linear Approximation and Differentials
4.5 Linear Approximation and Differentials
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Figure 4.55 (a & b)
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Figure 4.56
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Figure 4.57
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Table 4.4
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Figure 4.58
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Figure 4.59
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Figure 4.60
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4.6 Mean Value Theorem
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Figure 4.61
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Figure 4.62
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Figure 4.63
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Figure 4.64
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Figure 4.65
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Figure 4.66
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Figure 4.67
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4.7 L’Hôpital’s Rule
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Figure 4.68
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Figure 4.69
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4.8 Newton’s Method
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Figure 4.70 (a)
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Figure 4.70 (b)
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Figure 4.70 (c)
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Figure 4.71
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Figure 4.72
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Table 4.5
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Figure 4.73 (1 of 2)
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Figure 4.73 (2 of 2)
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Figure 4.74
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Table 4.6
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Figure 4.75
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Table 4.7
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Table 4.8
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Figure 4.76
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Figure 4.77
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Figure 4.78
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4.9 Antiderivatives
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Figure 4.79
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Table 4.9
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Figure 4.80
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Figure 4.81
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Figure 4.82
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Figure 4.83
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Figure 4.84
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