Chapter 5 Logarithmic, Exponential, and Other Transcendental Functions.

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Presentation transcript:

Chapter 5 Logarithmic, Exponential, and Other Transcendental Functions

5.4 Exponential Functions: Differentiation and Integration Copyright © Houghton Mifflin Company. All rights reserved. 5-2 Objectives  Develop properties of the natural exponential function.  Differentiate natural exponential functions.  Integrate natural exponential functions.

Copyright © Houghton Mifflin Company. All rights reserved. 5-3 Definition of the Natural Exponential Function and Figure 5.19

Copyright © Houghton Mifflin Company. All rights reserved. 5-4 Theorem 5.10 Operations with Exponential Functions

Copyright © Houghton Mifflin Company. All rights reserved. 5-5 Properties of the Natural Exponential Function

Copyright © Houghton Mifflin Company. All rights reserved. 5-6 Theorem 5.11 Derivative of the Natural Exponential Function

Copyright © Houghton Mifflin Company. All rights reserved. 5-7 Theorem 5.12 Integration Rules for Exponential Functions