Used the derivative and the second derivative to help sketch the curve of a function. Talked about a curve being
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"concave up" -- on the intervals where the acceleration is positive.
<br>"concave down" -- on the intervals where the acceleration is negative
<br>and having
<br>"points of inflection" -- a point where concavity changes
<br>"critical points" -- points where the derivative is zero or not defined. 

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This lecture was given by John Burns.

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See Section 4.3 in Stewart for more information on "concave up" and "concave down" functions.