Serpentine curve


A serpentine curve is a curve whose equation is of the form
Equivalently, it has a parametric representation
or functional representation
The curve has an inflection point at the origin. It has local extrema at, with a maximum value of and a minimum value of.

History

Serpentine curves were studied by L'Hôpital and Huygens, and named and classified by Newton.

Visual appearance