{"id":1644,"date":"2021-03-19T21:37:21","date_gmt":"2021-03-19T21:37:21","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/calculus1\/?post_type=chapter&p=1644"},"modified":"2021-06-07T20:00:30","modified_gmt":"2021-06-07T20:00:30","slug":"introduction-to-maxima-and-minima","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/introduction-to-maxima-and-minima\/","title":{"raw":"Introduction to Maxima and Minima","rendered":"Introduction to Maxima and Minima"},"content":{"raw":"

What you\u2019ll learn to do:\u00a0Identify extrema and critical points of a function<\/h2>\r\nGiven a particular function, we are often interested in determining the largest and smallest values of the function. This information is important in creating accurate graphs. 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. In this section, we look at how to use derivatives to find the largest and smallest values for a function.","rendered":"

What you\u2019ll learn to do:\u00a0Identify extrema and critical points of a function<\/h2>\n

Given a particular function, we are often interested in determining the largest and smallest values of the function. This information is important in creating accurate graphs. 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. In this section, we look at how to use derivatives to find the largest and smallest values for a function.<\/p>\n\n\t\t\t

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Candela Citations<\/h3>\n\t\t\t\t\t
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