Chapter 2
-
Upload
whoopi-clayton -
Category
Documents
-
view
17 -
download
0
description
Transcript of Chapter 2
Copyright © Houghton Mifflin Company. All rights reserved. 2 | 2
Figure 2.1: Tangent Line to a Graph
Copyright © Houghton Mifflin Company. All rights reserved. 2 | 3
Figure 2.2: Tangent Lineto a Graph at a Point
Copyright © Houghton Mifflin Company. All rights reserved. 2 | 4
Figure 2.3: Tangent Line to a Circle
Copyright © Houghton Mifflin Company. All rights reserved. 2 | 5
Figure 2.6: The SecantLine Through the Two Points
Copyright © Houghton Mifflin Company. All rights reserved. 2 | 6
Figure 2.7: Secant lineapproaches the tangent line
Copyright © Houghton Mifflin Company. All rights reserved. 2 | 9
Figure 2.11: Functions ThatAre Not Differentiable at x = 0
Copyright © Houghton Mifflin Company. All rights reserved. 2 | 10
Differentiability Implies Continuity
Copyright © Houghton Mifflin Company. All rights reserved. 2 | 12
Figure 2.13: The (Simple)Power Rule
Copyright © Houghton Mifflin Company. All rights reserved. 2 | 15
Figure 2.18: Definition ofAverage Rate of Change
Copyright © Houghton Mifflin Company. All rights reserved. 2 | 16
Definition ofInstantaneous Rate of Change
Copyright © Houghton Mifflin Company. All rights reserved. 2 | 17
Marginal Profit/Marginal Revenue/Marginal Cost
Copyright © Houghton Mifflin Company. All rights reserved. 2 | 18
Figure 2.22: Discrete andContinuous Variables
Copyright © Houghton Mifflin Company. All rights reserved. 2 | 24
Notation forHigher-Order Derivatives
Copyright © Houghton Mifflin Company. All rights reserved. 2 | 25
Position Function/Velocity Function/Acceleration Function
Copyright © Houghton Mifflin Company. All rights reserved. 2 | 27
Guidelines for Solvinga Related-Rate Problem
Copyright © Houghton Mifflin Company. All rights reserved. 2 | 28
Table: Verbal Statement/Mathematical Model