This week, we learned about optimization. We learned about both maximizing and minimizing whatever amount we are looking for. At the beginning of the week, we did an activity on finding the shortest distance from point A to point B. In these problems, there is usually a factor that prevents full optimization. In this case, we could not travel through cars. We had to go around them. This meant we had to find the shortest route, but it could not be a direct route. Then, we started learning about other types of applications relating to optimization. By setting up two equations, we can use substitution and the derivative to calculate maximums and minimums, representing maximization and minimization. This is important because we are finally using derivatives to solve real-world problems. Before, we were just looking at derivatives, what they were, and analyzing graphs based on that information. Now, we are applying what we learned about the derivative to solve application problems. This could be leading us into solving other types of application problems. We only really learned about applications of derivatives this week. I understand derivatives pretty well so I should be able to figure out the application problems, even though I am not amazing at them yet. Application problems and story problems are not my best types of problems so we will see if I struggle with them or not. To solve an application problem, you need to understand the question, set up some equations, and substitute based on what the question is asking. My participation was breathtaking this week, to say the least. I still need to work on more application problems.
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February 2015
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