Week+14+Nov+17-21

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Monday, November 17
Today we learned the definitions of Critical Points and Local Maximums.

__Critical Point__ 1. f(x) is defined. 2. f(x) is either zero or undefined. EX: f'(x)=(x-2)/x <--Critical Points at x=2 and x=0 .  __Local Maximum__ 1. f(x) is defined. 2. f(x) is either zero or undefined. 3. **1st Derivative Test:** f'(x) must change from positive to negative at x=c OR
 * 2nd Derivative Test:** f''(x) <0, then f is concave down and f has local maximum

**Tuesday November 18**
Today we worked several graph theory problems. They can be seen in the slideshow below. media type="custom" key="2714217"

Wednesday November 19th
Today we focused on finding critical points, local maxima, local minima and points of inflection of a selection of four different functions. For each function the instructions were a) Find all local maximum points and local minimum points of the function. Justify your answer, b) Find all points of inflection of the function. Justify your answer. c) Using answers to a) and b), sketch the graph of the function.



November 20th
Graph Theory AP problems today. The solutions can be seen in the slide-show below. media type="custom" key="2814929"

November 21st
Fun-sheet Friday form the following [|website] Answers are below.