MATH 1A Lecture Notes - Lecture 18: Maxima And Minima
Document Summary
Math 1a lecture 18 4. 1 maximum and minimum values. A function of f ( x) (and the opposite for global minimum) f ( x) has a global maximum at x=a if f (a ) f ( x ) for all x in the domain. A function neighborhood of x=a . f ( x) has a local maximum at x=a if f (a) f ( x) for all x in some. The local and global maxima and minima of f ( x) are known as extrema. Endpoints of domain count towards global maxima and minima, but not local. An endpoint cannot be a local max or min. If some point in the interval, and an absolute minimum at some point in the interval. is continuous on a closed interval. , then it attains an absolute maximum at. Notice that the following function has a global min but no global max.
