PreCalculus
Chapter 10 Exponential & Logarithmic Functions
Unit 10-1 Exponential & Logarithmic Functions
- Standard 10a: Solve equations involving exponential and/or logarithmic functions
- Standard 10b: Solve real-world financial problems involving exponential and logarithmic operations
Agenda
- Exponential Functions
- Base/Exponent
- Natural Exponential Base e
- Logarithmic Functions
- Loop Rule
- Natural Log Base e
- Sum, Difference, and Product Rules of Logarithms
- Applying Exponential and Logarithmic Functions to Solve Simple Financial Problems
- Investment
- Annuities/Loans
- Assignment 10-1: Part A Pg 598 #1-20 Part B #21-31
Unit 10-2 Zeros, Vertical Asymptotes & Domains of Exponential & Logarithmic Functions
- Standard 10c: Use sign patterns to determine the domain of exponential and logarithmic functions.
- Standard 10d: Find zeros and Vertical Asymptotes of exponential and logarithmic functions.
Agenda
- Applying Exponential and Logarithmic Functions to Solve Simple Financial Problems
- Investment
- Annuities/Loans
- Assignment 10-2:
Pg 610 #1-23
Unit 10-3 Logarithmic & Exponential Derivatives
- Standard 10e: Find derivatives of log and exponential functions
- Standard 10f: Find extreme points of log and exponential functions
- Standard 10g:
Finding and using tangent lines for log and exponential functions
Agenda
- 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
- Finding the Tangent and Normal Lines of Exponential and Logarithmic Function
- Finding the Extreme Values of Exponential and Logarithmic Functions
- Assignment 10-3: Pg 617 #1-12
Unit 10-4 The Product Rule
- Standard 10h: Find the derivative of a product of two functions
Agenda
- Using the Product Rule
- Defining the two separate functions
- Use the Chain Rule when necessary
- Simplify the answer as much as possible
- Finding the Tangent and Normal Lines of Products of Functions
- Finding the Extreme Values of Products of Functions
- Assignment 10-4: Pg 625 #1-4, 6, 9, 10, 12
Unit 10-5 Limits and End Behavior
- Standard 10i: Apply L’Hopital’s Rule to solve indeterminate limits
- Standard 10j: Use the Hierarchy of Functions to Determine End Behavior
Agenda
- Indeterminate Forms
- Using L'Hopital's Rule to Find Limits
- Reducing Indeterminate Forms to Apply L'Hopital's Rule
- Assignment 10-5:
Part A Pg. 570 #1-16 Part B Pg 631 #1-9, 13, 15, 17, 18