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Unformatted text preview: . At what xvalues can f x '( ) change signs? 2 3 Example 2 : Find the open intervals on which 3 2 3 ( ) 2 f x x x =is increasing or decreasing. Interval Test Value Sign of f '( x ) Conclusion 4 Example 3 : Find the open intervals on which the function 4 2 1 ( ) x f x x + = is increasing or decreasing. 5 Example 4 : Find the critical numbers and the open intervals on which the function f x x x ( ) =1 4 2 4 2 is increasing or decreasing. Example 5 : Find the critical numbers and the open intervals on which the function 3 2 1, 2 , x x y x x x x+ =+ is increasing or decreasing. 6 7...
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 Spring '08
 FAN
 Calculus, Continuous function, Order theory, Monotonic function, Convex function, open intervals

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