Der. App Word Problems

• Explanation:

  • Notes | Annotated

• Practice Problems

  • Worksheet | Answers

• Explanation:

  • • Notes | Annotated

• • Quizlet flashcards

  • Video (from Hollis) - watch until 12:25

• Practice Problems:

• • Worksheet | Answers

• • Explanation:

    • Notes | Annotated

  • Practice Problems:

    • Worksheet | Answers

• • AP questions: Motion along a line WS – derivatives only

    • 2010 (Form B) Q6 - Given a position equation - parts a, b, and c

    • 2010 (Form B) Q4 - Given v(t) as a graph - part a and b

  • 2007 Q4 - part a

  • 2005 (Form B) Q3 - parts a and b

  • 2004 Q5 - parts a, b, and c

  • 2003 Q2 - Given v(t) as an equation - parts a and b

  • 2003 (Form B) Q4 - Given v(t) as an equation - parts a, b, and c

  • 2002 Q3 - Given v(t) as an equation - part a and b

  • 2000 Q2 - Given v(t) as a graph and as an equation - parts a & b

  • 1999 Q1 - Given v(t) as an equation - parts a & b

  • 1998 Q3 - Given v(t) as an equation and as a table - parts a, b and c

• Worksheet | Answers

• Explanation:

  • Notes | Annotated

  • Notes #2

  • Example

  • Videos:

    • Worldwide Center of Mathematics: Optimization (best example at 46:50

    • Hollis: applied optimization problems: slides 1, 3, and 4 (slide 2 is more advanced)

    • Khan: Optimization with Calculus 1: minimize x^2 + y^2 if xy = -16

    • Khan: Optimization with Calculus 2: open box problem

    • Khan: Optimization Example 4: minimum cost of an open box

  • Websites:  Optimization Problems from Visual Calculus: website with to help with visualization

    • Java applets illustrating the solution to finding the maximum area of a rectangle which can be inscribed in a semicircles

    • Java applet illustrating the solution to finding the longest ladder which can be carried through a hallway with a corner.

    • Java applet illustrating the solution to finding the shortest time to move through the desert to a town.

    • Java applet illustrating the solution to finding the shortest ladder that can lean over a fence against a building.

• Practice Problems

  • Applied Max/Min Worksheet #1

  • Desmos Activity: Taco Truck (Teacher use only - not a calculus problem but it sets up one)

  • AP Questions:

    • AP optimization questions (old)

Notes | Annotated

• Explanation:

  • Notes | Annotated 

  • Website: Animated gifs or quicktime movies that are visually represented of different related rates problems

  • Videos:

    • Hollis (start watching at 9:50 to 13:11 and 16:45-20:13)

    • Worldwide Center of Mathematics: related rates (41:53)

    • Khan Video: Rates of change (part 2): area of expanding circle

    • Khan Video: Ladder rate of change problem

    • Khan Video: Introduction to rate-of-change problems: cone problem 

  • AP Free Response:

    • AP Free Response Questions (old) WS

    • 2008 Q3 - parts a & b

    • 2007 Q5 - part b

    • 2003 Q5 - part a

    • 2002 (Form B) Q6

    • 2002 Q5

• Practice Problems:

  • Related Rates WS #1 | Answers

Notes | WS #2 | Answers

• Explanation: 

  • Notes | Annotated 

• Practice:

  • WS #3 | Answers