Homework Helper - Absolute Extrema - Brian M. Woody.
Finding the Absolute Extrema. The Extreme Value Theorem tells us that we can in fact find an extreme value provided that a function is continuous. Thus, before we set off to find an absolute extremum on some interval, make sure that the function is continuous on that interval, otherwise we may be hunting for something that does not exist. Here is the procedure for finding the absolute extreme.
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Absolute Relative Maximum Minimum Absolute Minimum Definition of relative extrema 1. If there is an open interval containing c on which f(c) is a maximum, then f(c) is called a relative maximum of f. 2. If there is an open interval containing c on which.
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Finding One Dimensional Extrema. Iterative divide and conquer method for finding a local maximum or minimum on a curve. 18.013A Calculus with Applications, Spring 2005 Prof. Daniel J. Kleitman. Course Material Related to This Topic: Read chapter 14 of online textbook.
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Extremum is called maximum or minimum point of the function. Look at the picture of some function: From the plot, one can conclude that the points (x 1, y 1), (x 3, y 3) are maxima of the function. The points (x 2, y 2), (x 4, y 4) are minima of the function. Both, these points are called extrema of the function.
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