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Lecture Videos 1     Krista King  Real Life lore     Calculus Rhapsody

 

Chapter  4 Application of derivatives           Lecture Videos

Practices

Equation of tangent lines

 

Equation of tangent lines

 

Equation of tangent lines to trig functions

 

Curve Sketching

 

1.     What are critical points?

 

2.     Critical Points

 

3.     Finding Critical Numbers

 

4.     Increasing or Decreasing

 

5.     Increasing Decreasing by first derivative

 

6.     Increase or Decrease rational function

 

7.     Finding Absolute Maximum and Minimum Values - Absolute Extrema

 

8.     Finding Inflection Points & Concavity on a Graph

 

9.     First Derivative Test

 

10.  Second Derivative Test

 

11.  Concavity, Inflection Points, and Second Derivative

 

12.  Relative Extrema, Local Maximum and Minimum

 

13.  Local Maximum and Minimum Values

 

14.  Finding Absolute Maximum and Minimum Values

 

15.  Applications Graphs

 

16.  Curve Sketching - First & Second Derivatives -

 

17.  Curve Sketching Using The First And Second Derivatives

 

18.  Graphing       

 

19.  Graphing a Derivative Function

 

Optimization

 

Maximize Profit         Marginal Profit  

 

Marginal Analysis                  Optimization: Fence

 

Fence               Max Volume        Max can Volume   

 

  More Optimizations               Largest area

 

 

Optimization Fence Problems, Cylinder, Volume of Box, Minimum Distance & Norman Window

 

Optimization: cost of materials

 

 

Related Rules

1.     Many examples of Related Rates

 

2.     Related Rates(Ladder)

 

3.     Related Rates(Ladder)

 

4.     Related Rate(Circle) 

 

5.     Relates Rates - Gravel Being Dumped & Conical Tank Problem

 

6.     Related Rates - The Shadow Problem

 

7.     Related Rates - Inflated Balloon & Melting Snowball

 

8.     Related Rates - The Baseball Diamond

 

9.     Related Rates - Airplane Problems

 

10.  Related Rates - Angle of Elevation

 

L’Hopital’s Rule

 

1.     What is L'Hospital's rule?

 

2.     Tricks for Dealing with Indeterminate Forms of Limits

 

3.     Understanding Limits and L'Hospital's Rule

 

4.     L'hospital's Rule Indeterminate Forms

 

5.     L'hopital's rule

 

6.     L'Hospital's Rule Exercises Part 1

 

7.     Tricky L'Hopital's Rule problem

 

8.     Failure of L'Hospital's Rule

 

What is linear approximation

 

1.     What is linear approximation?

 

2.     Linear Approximation

 

3.     Finding The Linearization of a Function

 

4.     Differentials and Derivatives - Local Linearization

 

5.     Linear Approximation, Differentials

 

6.     delta y vs. dy (differential)

 

 

 

Tanget line    

(7 pages)

 

 

 

 

 

 

Increase/Decrease   

(3 pages)

 

Graphing Local MAX/MIN   

(5 pages)

 

 

MIN/MAX Ist Deriv. Test    

(4 pages)

 

 

MIN/MAX 2nd Deriv. Test    

(5 pages)

 

Absolute MIN/MAX    

(4 pages)

 

Concavity    

(7 pages)

 

 

 

 

 

 

 

 

 

 

 

 

Business App    

(14 pages)

 

 

Geomtery     (7 pages)

 

All types of Optimization problems     (17 pages)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Related rates

   (8 pages)

 

 

Related rates problems

 

 

 

Related rates problems

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

L'Hospital Rule

   (8 pages)

 

 

L’Hospital interactive practice problems

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Practice Oon Linear Approximation    

(21 pages)

 

 

 

 

 

 

 

 

 

 

 

Practice 4     (21 pages)