The task of finding extreme points is taken from the applet: [url=https://www.geogebra.org/material/show/id/uebjj3a8]Lagrange Points[/url][br] Keith Harrison — December 26, 2021 - 6:49 PM -Plot of the potential function that helps visualize Lagrange points.[br] [i]Here[/i], with the help of derivatives, critical points are found and their type is determined.[br]