id: 05280468
dt: j
an: 2008c.00433
au: Wu, Yan
ti: Improved second derivative test for relative extrema.
so: Int. J. Math. Educ. Sci. Technol. 38, No. 8, 1121-1123 (2007).
py: 2007
pu: Taylor \& Francis, Abingdon, Oxfordshire
la: EN
cc: I45
ut:
ci:
li: doi:10.1080/00207390701453504
ab: Summary: 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.
rv: