Title

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.

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