Malaysian Journal of Mathematical Sciences, September 2019, Vol. 13, No. 3
Formulate a Relationship Between Saddle Points on Surfaces and Inflection Points on Curves
Mohd, I. and Dasril, Y.
Corresponding Email: ismail_ayah_irma@yahoo.com
Received date: 31 August 2018
Accepted date: 1 June 2019
Abstract:
It is known that there is a much closed relationship between saddle and inflection points. It was shown in one of the research papers that a connection between the saddle points of functions of two variables with the inflection points of functions of one variable and the researcher claimed that he has not found any references to this result in the literature. However, the author himself worried by asking whether there always exists such a one variable function that is differentiable at the saddle point or not. In this paper, it will be proposed two results for relationship between the saddle and inflection points through the quadratic functions of two variables and two linear and non-linear functions of one variable. These results will be supported with several numerical examples.
Keywords: Saddle, inflection, differentiation, quadratic, linear
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