MAT 1320 Lecture Notes - Lecture 18: Minimax, Constant Function, Mean Value Theorem

• School: University of Ottawa
• Department: Mathematics
• Course: MAT 1320
• Professor: Kevin Fink

Document Summary

If f is continuous on a closed interval [a,b], then f attains an absolute minimum and maximum at points c and d in [c,d]. Fermat"s theorem absolute max/min: at a point local max/min: at a point edge points are taken into account on a closed interval. If f has a local min or max at c and if exists, then. Just because , it doesn"t necessarily mean is a min or max. A critical point of a function f is a point c such that . find critical points set solve for x. How to find absolute min and max of f on [a,b] We have an absolute min at , the min is. We have an absolute max at the max is. Edge points are never local min or max. Let f be continuous on [ differentiable on (