Applications
Home Up Calendar Summer Pre-Calculus Limits and Continuity Derivatives Applications Integral Integration Techniques Volumes L'Hopital Infinite Series Parametric Vectors Unit Marks

 

                   

Unit Title Short Video Long Video Video Links Homework Solutions
1. Extreme Values of Functions (1) Critical Points

First Derivative Test

Second Derivative Test

Increasing and Decreasing

  Intermediate Value Theorem Worksheet 4.1 Worksheet 4.1 Solutions
2. Mean Value Theorem MVT   Mean Value Theorem and Related Rates    
3. Connecting f' and f''  with f and graphing – Large Lesson Sketching Graphs

Graphing I

Horizontal Asymptotes Worksheet 4.3

Handout 4.3

 
4.   Horizontal Asymptote

Vertical Asymptote

Slant Asymptote

Concavity

Graphing II Curve Sketching Worksheet 4.5  
5.     Graphing III

Graphing IV

  Worksheet 4.6  
6. Optimization (Large Lesson) On a Closed Range

Rectangle

Rectangle in Semi-Circle

Rectangle in Triangle

Cone

Cylinder in Sphere

Printed Page

Closest Distance between Point and Line

Optimization 1st Derivative Test

Handout 4.6

Worked Examples

Handout 4.6 Solutions

7. Velocity Position Function

Particle

Velocity 2nd Derivative Test Worksheet 4.8 Worksheet 4.8 Solutions
      Linear Approximations Extreme Values Practice Questions Solutions
8.       Problems

Examples

 

9. Linearization and Newton’s Method Linear Approximation

Linearization

Newton's Method

Newton's Method and Linearization

 

Newton's Method Worksheet 4.9 Worksheet 4.9 Solutions
10. Estimating Change and Rolle’s Theorem Rolles Theorem     Worksheet 4.10 Worksheet 4.10 Solutions
11. Related Rates (1) Distance between Airplane

Ladder

Balloon

Water Tank

 

Related Rates

Related rates

Worksheet 4.11

Handout 4.11

Worksheet 4.11 Solutions

Handout 4.11 Solutions

12.   Marginal Cost   AP Question Practice Questions Solutions
13.            
14. Review          
  Test