Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag
Mathematics-Online course: Prepcourse Mathematics - Analysis - Extrema and Curve Sketching

Box

[previous page] [next page] [table of contents][page overview]
With the help of the following pattern, a box is to be produced from a quadratic piece of cardboard; the box's volume is to be as big as possible.

ALT=

The volume is

ALT=

Zero points of derivative:

ALT= ALT=    

Thus


ALT= ALT=    

are local extrema. Only ALT= makes geometrically sense, and

ALT=

Since the volume is zero for the boundary points ALT= and ALT=, the box's volume is maximal for ALT=.

(Authors: Höllig/Hörner/Abele)
[previous page] [next page] [table of contents][page overview]
  automatically generated 9/18/2007