Improved Second Derivative Test for Relative Extrema

Yan Wu

doi:10.1080/00207390701453504

Improved Second Derivative Test for Relative Extrema

Yan Wu

Mathematical Sciences

Georgia Southern University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	American English
Journal	International Journal of Mathematical Education in Science and Technology
Volume	38
DOIs	https://doi.org/10.1080/00207390701453504
State	Published - Jan 1 2007

Keywords

Derivative Test
Relative Extrema

DC Disciplines

Education
Mathematics

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https://doi.org/10.1080/00207390701453504

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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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AB - 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.

KW - Derivative Test

KW - Relative Extrema

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/679

UR - https://doi.org/10.1080/00207390701453504

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DO - 10.1080/00207390701453504

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VL - 38

JO - International Journal of Mathematical Education in Science and Technology

JF - International Journal of Mathematical Education in Science and Technology

ER -

Improved Second Derivative Test for Relative Extrema

Abstract

Keywords

DC Disciplines

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