Derivatives Problem Set

Derivative Rules - Constant, Power, Constant Multiple, Product and Quotient

Differentiation and Differentiability

Continuity

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

Trig Limits, Infinite Limits and Limits at Infinity

Larson 1.3 #67-81, 1.5 #33-47, 3.5 #15-31. Solutions for the odd exercises can be found in the online text.

Section 1.3


Section 1.5


Section 3.5

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

Limits - Graphically and Numerically

The following exercises are homework for this evening.








The following exercises are homework for this evening.








In case you've forgotten how to do this on your calculator, here is video of one of the problems we did in class.

Welcome to AP Calc BC 2010!

Welcome. Please read the First Day letter. It will be available under Important Links on the right for the rest of the year.