PreCalculus

Chapter 10
Unit 10-1 Unit 10-2 Unit 10-3 Unit 10-4
Unit 10-1 Exponential & Logarithmic Functions Agenda
  1. Exponential Functions
    • Base/Exponent
    • Natural Exponential Base e
  2. Logarithmic Functions
    • Loop Rule
    • Natural Log Base e
  3. Sum, Difference, and Product Rules of Logarithms
  4. Assignment 10-1: Pg 545 #1-20
Unit 10-2 Financial Applications Agenda
  1. Applying Exponential and Logarithmic Functions to Solve Simple Financial Problems
    • Investment
    • Annuities/Loans
  2. Assignment 10-2: Pg 552 #1-11
Unit 10-3 Logarithmic & Exponential Derivatives Agenda
  1. Derivatives of Exponential & Logarithmic Functions
    • Derivative of an Exponential Function
    • Derivative of the base e exponential function
    • Derivative of Logarithmic Functions
    • Derivative of the natural log function
  2. Finding the Tangent and Normal Lines of Exponential and Logarithmic Function
  3. Finding the Extreme Values of Exponential and Logarithmic Functions
  4. Assignment 10-3: Part A Pg 562 #1-5, 8-14 Part B #15, 16, 19, 20
Unit 10-4 The Product Rule Agenda
  1. Using the Product Rule
    • Defining the two separate functions
    • Use the Chain Rule when necessary
    • Simplify the answer as much as possible
  2. Finding the Tangent and Normal Lines of Products of Functions
  3. Finding the Extreme Values of Products of Functions
  4. Assignment 10-4: Pg 571 #1-4, 6, 9-12
Unit 10-5 L'Hopital's Rule Agenda
  1. Indeterminate Forms
    • 0/0
    • ∞/∞
    • ∞ – 0
  2. Using L'Hopital's Rule to Find Limits
  3. Reducing Indeterminate Forms to Apply L'Hopital's Rule
  4. Assignment 10-5: Part A Pg 580 #1-16 Part B #110-22