Chapter 3 Derivatives

Introducing the Derivative 3.1 Introducing the Derivative

Figure 3.1

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Figure 3.11

Working with Derivatives 3.2 Working with Derivatives

Figure 3.12

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Figure 3.20 (a)

Figure 3.20 (b)

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Rules of Differentiation 3.3 Rules of Differentiation

Figure 3.23

Table 3.1

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Figure 3.27

The Product and Quotient Rules 3.4 The Product and Quotient Rules

Figure 3.28

Figure 3.29

Derivatives of Trigonometric Functions 3.5 Derivatives of Trigonometric Functions

Table 3.2

Figure 3.30

Figure 3.31

Figure 3.32 (a & b)

Derivatives as Rates of Change 3.6 Derivatives as Rates of Change

Figure 3.33

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Figure 3.40 (a)

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Figure 3.47 (a)

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3.7 The Chain Rule

Figure 3.50

Table 3.3

Table 3.4

Table 3.5

Figure 3.51

Implicit Differentiation 3.8 Implicit Differentiation

Figure 3.52 (a & b)

Figure 3.53 (a)

Figure 3.53 (b)

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Figure 3.56

Derivatives of Logarithmic and Exponential Functions 3.9 Derivatives of Logarithmic and Exponential Functions

Figure 3.57

Figure 3.58 (a & b)

Figure 3.59

Table 3.6 Source: E.G. Hook and A. Lindsjo, Down Syndrome in Live Births by Single Year Maternal Age.

Figure 3.60

Figure 3.61

Derivatives of Inverse Trigonometric Functions 3.10 Derivatives of Inverse Trigonometric Functions

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3.11 Related Rates

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Figure 3.76