5/1 - 5/16: Curve Sketching

We're continuing our study of calculus by answering the question: what do derivatives tells us about the shape of their original functions?

Wednesday, 5/1 - we used the derivative to identify minima and maxima on functions. Here are the slides from class. Your HW is p. 612 (Ex. 13.3) #2, 5, 6, 9, 11.

Thursday, 5/2 - we analyzed the critical points of functions and determined local/global minima and maxima. Here are the slides from class. Your HW is p. 612 (Ex. 13.3) #8, 9, 10, 13.

Friday, 5/3 - we found second derivatives and explored what they told us about a function's concavity. Here are the slides from class. Your HW is p. 612 (Ex. 13.3) #16, 18, 19.

Monday, 5/6 - we used the second derivative to understand minima and maxima. Mr. Lao was on a field trip. Here are the notes from class. Your HW is on that same sheet and is p. 612 (Ex. 13.3) #18, 26-28.

Tuesday, 5/7 - you have a quiz on ideas from our introduction to differential calculus, including finding the derivative from first principles (the limit definition), from the power rule, writing down and using equations of tangent lines and normal lines, and using your GDC to find derivatives.

Wednesday, 5/8 - we put all our knowledge together from the first and second derivatives to sketch curves without a GDC. We're human graphing calculators! Here are the slides from class. Here is the sheet of notes from class. Your HW is Worksheet (Ex. 18F.2) bottom #1-2.

Thursday, 5/9 - we practice sketching curves based on information about a derivative's graph. Here are the slides from class. You have options for your HW: Worksheet 18F.1 (top) #2egh, OR, retry Textbook p. 612 (Ex. 13.3) #26-28, OR, retry Worksheet (Ex. 18F.2) bottom #1-2.

Friday, 5/10 - we used derivative formulae for special functions. Here is a sheet of derivative formula. Here are the slides from class. Your HW is p. 728 (Ex. 15.2) #2a, 3, 7, 11 and p. 743 (Ex. 15.3) #42.

Thursday, 5/16 - we have a quiz on Curve Sketching, which is using information about a function's first derivative and second derivative to talk about the shape of the original function. Here are some ideas for practice problems:

Good Basic Skills Practice Problems:

Chapter 13, Exercise 3 (p. 612)

#4-13 and #15-20 and #23 and #26-29

You've already done most of these for HW

Good Beyond Basics Practice Problems:

Chapter 13 Practice Questions (p. 620)

#2, 5, 8, 10, 13, 17, 32, 33, 37

Chapter 15 Practice Questions (p. 762)

#1, 12, 16, 71