1. Logarithmic, Exponential, and Other Transcendental Functions
Chapter 5
Logarithmic, Exponential, and Other Transcendental Functions

2. Definition of the Natural Logarithmic Function and Figure 5.1
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3. Theorem 5.1 Properties of the Natural Logarithmic Function
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4. Theorem 5.2 Logarithmic Properties
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5. Definition of e and Figure 5.5
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6. Theorem 5.3 Derivative of the Natural Logarithmic Function
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7. Theorem 5.4 Derivative Involving Absolute Value
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8. Theorem 5.5 Log Rule for Integration
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9. Guidelines for Integration
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10. Integrals of the Six Basic Trigonometric Functions
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11. Definition of Inverse Function and Figure 5.10
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12. Theorem 5.6 Reflective Property of Inverse Functions and Figure 5.12
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13. Theorem 5.7 The Existence of an Inverse Function and Figure 5.13
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14. Guidelines for Finding an Inverse Function
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15. Theorem 5.8 Continuity and Differentiability of Inverse Functions
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16. Theorem 5.9 The Derivative of an Inverse Function
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17. Definition of the Natural Exponential Function and Figure 5.19
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18. Theorem 5.10 Operations with Exponential Functions
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19. Properties of the Natural Exponential Function
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20. Theorem 5.11 Derivative of the Natural Exponential Function
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21. Theorem 5.12 Integration Rules for Exponential Functions
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22. Definition of Exponential Function to Base a
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23. Definition of Logarithmic Function to Base a
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24. Properties of Inverse Functions
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25. Theorem 5.13 Derivatives for Bases Other Than e
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26. Theorem 5.14 The Power Rule for Real Exponents
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27. Theorem 5.15 A Limit Involving e
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28. Summary of Compound Interest Formulas
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29. Definitions of Inverse Trigonometric Functions
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30. Figure 5.29
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31. Properties of Inverse Trigonometric Functions
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32. Theorem 5.16 Derivatives of Inverse Trigonometric Functions
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33. Basic Differentiation Rules for Elementary Functions
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34. Theorem 5.17 Integrals Involving Inverse Trigonometric Functions
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35. Basic Integration Rules (a > 0)
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36. Definitions of the Hyperbolic Functions
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37. Figure 5.37
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38. Hyperbolic Identities
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39. Theorem 5.18 Derivatives and Integrals of Hyperbolic Functions
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40. Theorem 5.19 Inverse Hyperbolic Functions
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41. Figure 5.41
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42. Theorem 5.20 Differentiation and Integration Involving Inverse Hyperbolic Functions
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