Mathematical Sciences: Faculty Publications
Improved Second Derivative Test for Relative Extrema
Document Type
Article
Publication Date
2007
Publication Title
International Journal of Mathematical Education in Science and Technology
DOI
10.1080/00207390701453504
ISSN
1464-5211
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.
Recommended Citation
Wu, Yan.
2007.
"Improved Second Derivative Test for Relative Extrema."
International Journal of Mathematical Education in Science and Technology, 38 (8): 1121-1123.
doi: 10.1080/00207390701453504
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/679
Copyright
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