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Unformatted text preview: ) Conclusion 2 Example 2 : Determine the open intervals on which the graph of 2 2 1 ( ) 4 x f x x + =is concave upward or downward. 3 Example 3 : Determine the points of inflection and discuss the concavity of the graph of 3 ( ) ( 4) f x x x =. 4 Question : Are all points where the second derivative is zero points of inflection? Example 4 : The graph below represents ( 29 f x . On what intervals is ( 29 ' f x positive? Negative? Are there any points where ( 29 '' f x = ? Example 5 : The graph below represents ( 29 ' f x . On what intervals is ( 29 f x increasing? Decreasing? Concave up? Concave down? 5 Example 6 : Find the relative extrema of 5 3 ( ) 3 5 f x x x = + . 6...
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 Spring '08
 FAN
 Calculus, Derivative, Convex function, open intervals

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