Stage 36 · Limits, Derivatives & Their Applications
36.6.2 Geometric Extremes: Area and Volume
36.6 Derivatives at Work: Optimization in Action
Point 2 of 5
36.6.2 Geometric Extremes: Area and Volume
Core ideaHow do you fold a sheet of metal into the roomiest box? Differentiate the volume function and find the extreme point.
Module goal. Translate real-world "cheapest" and "largest" problems into finding extremes of a function, use derivatives to deliver the best plan, and look back over the whole journey to open the door ahead.