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Unformatted text preview: = − (+)( − ) (+) = − (+)( − ) (+) = − (+)(+) (+) = + conclusion ր ց ց ց ց ր Step 4 . Since (from the arrows in the table) it is possible to have relative extrema at x = ± √ 3 only, the candidates of interest are x = ± √ 3. (a) We need to check if they are critical numbers. That is, we need to check if f ( x ) is de±ned at these numbers. Indeed they are (because f ( x ) is not de±ned only when the denominator is 0, that is, at x = ± 1. (b) Using the ±rst derivative test, we have a relative maximum at x = − √ 3, with f ( x ) = − 3 √ 3 2 ≈ 2 . 5981, and a relative minimum at x = √ 3, with f ( x ) = 3 √ 3 2 ≈ 2 . 5981. We get the following if we graph the function:...
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This note was uploaded on 01/02/2012 for the course MAC 2233 taught by Professor Danielyan during the Fall '08 term at University of South Florida.
- Fall '08