*  Reading Outline, Sec4.1 *
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* Vocabulary/Definitions *
 - If f'>0, then f is\dots
 - If f'<0, then f is\dots
 - If f''>0, then f is\dots
 - If f''<0, then f is\dots
 - Local minimum or maximum
 - Critical point (what are the two meanings?)
 - First-derivative test for local maxima and minima
 - Second-derivative test for local maxima and minima
 - Inflection point
 - What is true of f' when f has an inflection point?


* Understand *
1. Find all critical points of f(x) = x^3 - 6x^2 + 9x - 21.


2. Use the first-derivative test to determine if these are maxima or minima.


3. Use the second-derivative test to confirm your results from (2).


4. Find where the derivative of f(x) = x^3 - 6x^2 + 9x - 21 has a local
maximum or minimum.