If your screen is not partitioned into three frames, press here to bring up the frames that will enable you to use these quizzes. Every absolute maximum is also a local maximum.
Every local extremum is also an absolute extremum.
Each point of the graph where the tangent is vertical is a singular point. Not all critical points need be local extrema. If a stationary point is not a local extremum, then the tangent at the point need not be horizontal. 100, then f must have an absolute maximum at 2. Some functions have local extrema but no absolute extrema.