Learn how to find the local maxima and minima of a function using the first derivative test and the second derivative test. See examples, definitions, and related topics on derivatives and differentiation. Learn the definition and examples of local maximum and minimum points on a graph, and how to find their coordinates and values. See six problems with solutions and explanations on how to identify increasing, decreasing and constant intervals on a graph. Below are the steps to find the global maxima and global minima in closed interval.
Then, find the value of the function at the extreme points of d interval. Learn how to use derivatives and second derivatives to locate the highest and lowest points of a function. See examples, graphs, rules and exceptions with explanations and practice questions. Finding the maximum and minimum values of a function also has practical significance, because we can use this method to solve optimization problems, such as maximizing profit, minimizing the amount of material used in manufacturing an aluminum can, or finding the maximum height a rocket can reach. This calculus video tutorial explains how to find the local maximum and minimum values of a function. In order to determine the relative extrema, you need to find the first derivative,. Learn how to find the highest and lowest values of a function in a specific interval using derivative tests. See definitions, examples, properties, and practice questions on local maxima and minima.
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