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Unformatted text preview: 10 Find all inﬂection points of the graph of f ( x ) = ex 2 . Make a rough sketch. 11 Second Derivative Test – Suppose f 00 ( x ) is continuous near c . a) If f ( c ) = 0 and f 00 ( c ) then f has a local at c . b) If f ( c ) = 0 and f 00 ( c ) then f has a local at c . Determine the local extrema of the functions above. 12 Find all relative extrema and inﬂection points of the graph of f ( x ) = 3 x 1 3x and make a rough sketch of f ( x ). 13 Find all relative extrema and inﬂection points of the graph of f ( x ) = 2 5 x 5 3x 2 3 . Make a rough sketch of f ( x ). 14 Given the graph of f ( x ), determine the following: a) Intervals on which f is increasing/decreasing b) Local extrema c) Intervals on which f is concave up/down d) Points of inﬂection e) If f (0) = 3, make a possible sketch of f ( x ). 15...
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This note was uploaded on 01/13/2010 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.
 Fall '08
 ALL
 Calculus, Derivative

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