Enjoy your winter break. Relax, have fun, sleep! There is no calculus homework over break. However, your function analysis project will be due after the break (on January 11th) and we won't have any more class time to work on it. The rubric is attached. If you have questions, email. I will check email periodically over the break.
Today you got your function and the rubric for the project. You will have time tomorrow and Friday to work on the math portion of the project in class.
Today we summarized everything we knew about finding extrema using different methods: the function itself, the first derivative, and the second derivative. We also practiced sketching a function given information about f' and f''. No homework tonight. You will get your function analysis project tomorrow and we will work on it in class for the rest of the week.
Chapter 4 solutions are available here. Sorry for the delay! Worked out solutions for p. 204 #7-13 are also available in the folder (for what its worth - the work may be difficult to follow!)
Today we talked about points of inflection, how to find them, and what they mean. And we covered the 2nd derivative test. Homework is p. 204 #9-13, due Monday. Solutions will be posted shortly.
Today we talked more about the first derivative test, practiced finding and classifying extrema, and also talked about concavity. Homework is p. 204 #7 & 8 (a-e only).
Today we learned how to use the first derivative test to find critical points for a function, then how to use the critical points to determine maximum and minimum values for a function. Homework is p. 184 #1,3,5, 11-16. Solutions are available in the chapter 4 google folder.
Don't forget - quiz on derivatives tomorrow. Memorize all of your rules!! (except the inverse trig rules).
Today was a work day to get help on test corrections and/or to work on the review assignment. The solutions to the review assignment are posted (scroll to the end to see the solutions). Today we talked about position, velocity, and acceleration, and cleared up a misconception that I caused for you. We also talked about what differentiability means (the function is continuous, AND the slope from the left equals the slope from the right). You got a fat review packet to practice all of the concepts. We will have a work day tomorrow to work on the packet. You need to try some of each type of problem, you do not need to do every single problem.
Today we practiced derivatives. Homework is p. 172 #1-30. The solutions manual is available in the google drive folder.
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