Applied Mathematics 1413 Chapter 4.4: Applied Mathematics 1413 Chapter 4.: 4.4 Extreme Values
22 Dec 2018
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Document Summary
A critical point of a function is a number , in the domain of , such that either or that does not exist. Largest value in 1 or 2 is abs max, lowest value in 1 or 2 is abs min. To find the absolute max and min of a continuous functions on a closed interval: Find the value of @ all critical points. Find the value of @ each end point. If is countinous on and if and then: If and for some then has an abs max on. If and for some then has an abs min on. If a continuous function on an open domain has an abs max it must be @ a critical point or @ a point that is part of the domain. If a continuous function on an open domain has an abs min it must be @ a critical point or @ a point that is part of the domain.
