Chapter 4

4.1 Local Maxima and Minima

  • Relationship between a derivative and the function
  • Relationship between a derivative and the original graph
  • Finding Critical Points
  • What is a local maxima and minima
  • Testing for local maxima and minima – first derivative test and second derivative test

Check Your Understanding

Check Your Understanding Chapter 4 Section 1

Check Your Understanding Chapter 4 Section 1 Solutions

 

4.2 Inflection Points

  • What is an inflection point
  • Inflection points and concavity
  • How to determine an inflection point

Check Your Understanding

Check Your Understanding Chapter 4 Section 2

Check Your Understanding Chapter 4 Section 2 Solutions

 

4.3 Global Maxima and Minima

  • What is a Global maxima and minima
  • How to determine a Global Maxima and Minima
  • Local maxima and minima Vs. Global maxima and minima

Check Your Understanding

Check Your Understanding Chapter 4 Section 3

Check Your Understanding Chapter 4 Section 3 Solutions

 

Applications

4.4 Profit, Cost, and Revenue

  • Relationship between Profit, Cost, and Revenue
  • Marginal Cost and Revenue
  • Hot to find the quantity at which maximum profit occurs
  • How to calculate the maximum profit

4.7 Logistic Growth

  • The Logistic Function
  • Carrying Capacity and the Point of Diminishing Returns
  • Determine the Logistic Growth model with certain givens

4.8 The Surge Function and Drug Concentration

  • The Surge Function
  • Drug Concentration graphs
  • The effect of changing the parameters in the Surge function
  • Minimum Effective Concentration

 

Check Your Understanding

Check Your Understanding Chapter 4 Applications

Check Your Understanding Chapter 4 Applications Solutions

 

 

Full Chapter Review 

Chapter 4 Review

Chapter 4 Review Solutions