Section 3.1: Intervals of increase and decrease; Relative extrema

1. Given a function, discuss its intervals of increase and decrease.
2. Define critical points and relative extrema.
3. Use the first derivative test to study relative extrema and sketch graphs.

Annotated slides for Section 3.1.

• Math_1231_slides_3_1_notes.pdf

Please watch the following videos with the prerecorded content for Section 3.1.

1. Intervals of increase and decrease
2. Example 1 (Intervals of increase and decrease)
3. Example 2 (Intervals of increase and decrease)
4. Extreme values
5. Critical numbers
6. First derivative test
7. Example (first derivative test)
8. Graph sketching guidelines with example
9. Application example