1. AP Calculus BC
September 22, 2016

2. Learning Targets
I can use the derivative to locate the minimum and maximum values of a function.
I understand Rolle’s Theorem and the Mean Value Theorem and how they relate to derivatives of functions.
I solved a variety of problems involving applications of derivatives.

3. Section 3.1 – Extrema on and INterval
What are extrema?
The Extreme Value Theorem
If f is continuous on a closed interval [a, b], then f has both a maximum and a minimum.

4. Absolute Extrema vs. Relative Extrema
Value of the Derivative at Relative Extrema

5. Critical Numbers
Finding Extrema on a Closed Interval

6. Page 169: 14, 16, 26

7. Section 3.2 – Rolle’s/MVT
Rolle’s Theorem

8. The Mean Value Theorem

9. Page 176: 12, 18, 43

10. Assignment #10
§3.1 (15, 25, 54, 57-60, 63, 65-68)