Solutions to Applications of Derivatives FRQ

Solutions to all 18 problem set questions are now posted:

Problems 1 to 9
Problems 10 to 18

Selected Solutions

Some questions were asked, and so I have provided the following solutions and videos:

1973 AB 19 Video


1993 AB 23 Video


1997 AB 22 Video


1997 AB Calculator 77 Video


1997 AB Calculator 85 Video


1998 AB Calculator 89 Video


1997 AB Calculator 82 Video


1998 AB calculator 79 Video


Larson 3.4 23 Video


Larson 3.4 39 Video

Concavity and Points of Inflection

HW: Larson 7 Ch 3 Section 4 #11-39

Intervals of Increasing/Decreasing and Relative Min/Max

HW: Larson 7 Section 3.3 #1-35 odds

Extreme Values on an Interval

HW: Larson 7 Section 3.1 11-31 odds

Related Rates

Problem Set 4

Part 1: Limits, Continuity, Differentiability ANSWERS
Part 2: Basic Derivatives ANSWERS
Part 3: Motion Problems ANSWERS
Part 4: Implicit Differentiation ANSWERS
Part 5: Derivatives of Exponential, Logarithmic and Inverse Trigonometric Functions ANSWERS

Derivatives of Inverse Functions and Inverse Trigonometric Functions

HW: FDWK 3.8 1-29 odds

Derivatives of Exponential and Logarithmic Functions

HW: FDWK 3.9 1-41 odds

Implicit Differentiation

HW: Larson 2.5 1-15 odds, 21-27 odds, 35-39 odds, 43, 47

Problem Set 3

Problem Set 3
Worked out solutions
Problem 1 Video
Problem 2 Video
Problem 3 Video
Problem 4 Video
Problem 5 Video
Problem 6 Video
Problem 7 Video Part 1
Problem 7 Video Part 2
Problem 8 Video
Problem 9 Video
Problem 10 Video

Rectilinear Motion (motion along a line)

Test on Thursday 10/21/10 on Chain Rule and Motion Problems

Today's in class examples (FDWK Ch 3 Section 4 - Selected answers in the online text):







Homework problems (FDWK Ch 3 Section 4 - Selected answers in the online text):

Chain Rule (Part 2)

HW: Larson 2.4 67-77 all



In class examples:

Chain Rule (Part 1)

HW Larson 2.4 1-6 all, 7-33 odd, 47-65 odd, 79, 81

Product and Quotient Rule

Basic Derivative Rules

Differentiation

Continuity

HW: Larson 1.4 #33-53 odd, #57-60 all

Infinite Limits and Limits at Infinity

Larson 1.5 #33-47, 3.5 #15-31. Solutions for the odd exercises can be found in the online text.

Section 1.5


Section 3.5

Limits - Special Trig Functions

HW #67-82 ALL

Limits - Algebraically

For review - remember you should be able to identify limits by looking at the graph or graph the piece-wise function first and then identify limits.




These are examples of the problems we did in class today. Hopefully these make help to make sense of why limits are so useful. You should be able to answer these questions as well.





Properties of Limits - These are the many different aspects of Direct Substitution. You should understand and be able to use them, but you don't have to memorize them.








Homework - Larson 7.0 1.3 #45-65 odds. You can access the book under Important Links on the right. Solutions are included in the actual text exercises.

Remember the strategies:
1) Direct Substitution (a.k.a. Plug-n-Chug)
2) Factor and Cancel
3) Rationalization
4) Simplifying Fractions