Top Banner
Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.
46

Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Dec 20, 2015

Download

Documents

Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Page 1: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc.

Chapter 6Applications of the Derivatives

Copyright © 2008 Pearson Education, Inc.

Page 2: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc.

6.1Absolute Extrema

Page 3: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-3

Figure 1

Page 4: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-4

Page 5: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-5

Figure 2

Page 6: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-6

Page 7: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-7

Figure 3

Page 8: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-8

Page 9: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-9

Page 10: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-10

Figure 4

Page 11: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-11

Page 12: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-12

Figure 5

Page 13: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-13

Page 14: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-14

Page 15: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-15

Figure 6

Page 16: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc.

6.2Applications of Extrema

Page 17: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-17

Page 18: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-18

Page 19: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-19

Figure 7

Page 20: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-20

Page 21: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-21

Figure 8

Page 22: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-22

Page 23: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-23

Figure 9

Page 24: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-24

Figure 10

Page 25: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-25

Figure 11

Page 26: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-26

Figure 12

Page 27: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-27

Figure 13

Page 28: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc.

6.3Further Business Applications: Economic Lot Size; Economic Order Quality; Elasticity of Demand

Page 29: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-29

Figure 14

Page 30: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-30

Page 31: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-31

Figure 15

Page 32: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-32

Page 33: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc.

6.4Implicit Differentiation

Page 34: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-34

Figure 16

Page 35: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-35

Figure 17

Page 36: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-36

Page 37: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc.

6.5Related Rates

Page 38: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-38

Figure 18

Page 39: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-39

Page 40: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-40

Figure 19

Page 41: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-41

Figure 20

Page 42: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-42

Figure 21

Page 43: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc.

6.6Differentials: Linear Approximation

Page 44: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-44

Figure 22

Page 45: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-45

Page 46: Copyright © 2008 Pearson Education, Inc. Chapter 6 Applications of the Derivatives Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc. Slide 6-46