Review Topic 27 = Stewart 4.3 (Derivatives & the Shape of a Graph) = AP Classroom 5.7

Derivatives tell us everything we need to know about a function. We will be connecting

when a function is increasing, decreasing, and the location of extrema to the sign of the derivative (the First Derivative Test, or FDT)
when a function is concave up, concave down, and its points of inflection to the sign of the second derivative (the Second Derivative Test, or SDT

Action Items:

1. Take notes in class. If absent, review the powerpoints below and/or the extra resources, take notes as necessary (use the Notes document if you prefer), and make note of any questions you may have.

AP Style Practice FRQ: Extreme Values & MVT

2. Book Practice: 4.3.4: p. 298, #35, 37, 43, 47; 61-64 all.

3. If you need to catch up on any of the AP videos, please do!

4. The AP Classroom practice is re-opened. Head back in and finish those if you didn't get to them in December.

5. All done and looking for more practice? Check out the optional WaMap assignment, 3.3: Curve Sketching.

Resources:

Topic 27: Derivatives and Graph Shape
Topic 27: Derivatives and Graph Shape Notes (Optional)
AP Classroom Daily Videos: 5.7
Stewart, Chapter 4, Section 3
Homework Solutions