Editing Quartic function (section)

==Inflection points and golden ratio==
Letting {{mvar|F}} and {{mvar|G}} be the distinct [[inflection point]]s of the graph of a quartic function, and letting {{mvar|H}} be the intersection of the inflection [[secant line]] {{mvar|FG}} and the quartic, nearer to {{mvar|G}} than to {{mvar|F}}, then {{mvar|G}} divides {{mvar|FH}} into the [[golden section]]:<ref>{{Citation|last = Aude|first = H. T. R.|journal = [[American Mathematical Monthly]]|year = 1949|issue = 3|volume = 56|title = Notes on Quartic Curves|jstor = 2305030|doi = 10.2307/2305030|pages=165–170}}</ref>

:<math>\frac{FG}{GH}=\frac{1+\sqrt{5}}{2}= \varphi \; (\text{the golden ratio}).</math>

Moreover, the area of the region between the secant line and the quartic below the secant line equals the area of the region between the secant line and the quartic above the secant line. One of those regions is disjointed into sub-regions of equal area.