Improved second derivative test for relative extrema |
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Authors: | Yan Wu |
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Institution: | 1. Department of Mathematical Sciences , Georgia Southern University , Statesboro, GA, 30460, USA yan@georgiasouthern.edu |
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Abstract: | In this note, a modified Second Derivative Test is introduced for the relative extrema of a single variable function. This improved test overcomes the difficulty of the second derivative vanishing at the critical point, while in contrast the traditional test fails for this case. A proof for this improved Second Derivative Test is presented, followed by an example. |
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Keywords: | determinant Jordan canonical form trace |
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