This week's new topic was taking what we knew from derivatives and optimization, but now finding rates of how parts and pieces change throughout a problem. I was expecting this lesson to be a harder than last week's but once you were able to understand the problem well, it turned out to be as tough as last week, a little easier even. I think what helped through this was that there were actual drawn out steps that worked to complete each problem. I think the hardest part of these problems was figuring out what equation to use. Once you were able to find the equation, the rest was easy because all you have to do is take the derivative and plug in what you have. The thing you had to keep in mind was using implicit differentiation with variable that were changing. All in all, I thought this week was pretty simple. The abstract problems were what made it a little tough, especially ones that consisted of a shadow, in the picture shown. After thinking about these kind of problems for a while they turned out to be not so bad. The trick for many of these was to just use similar triangles which helped you so the small amount of information that came with the variable would not complicate anything.
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This week was all about optimization and I honestly thought it was going to be way worse than it actually was. Last week was harder for me because I kept getting all the derivatives wrong so when I tried finding critical points it just turned into a huge mess. However, this week was much easier since most of the time you didn't even have to find the derivative and you could just graph to find critical points. The only thing that was difficult this week was the conceptual idea of all the problems. Some required a lot of planning out in order to evaluate how to optimize something. The overall idea is pretty easy as well and I feel as if we did something similar back in 8th grade. I literally had like this deja vu moment because I remember doing a similar problem years ago with the same people in class explaining it. I thought this week's quiz was pretty simple too, although I'm not entirely sure how I did. Since there were only four problems, I wasn't too worried and I thought they were pretty easy. I have nothing else to say. I wish calculus was more riveting than this. Don't get me wrong, I love math, and think that there are really awesome equations and problems and just really abstract way of thinking. However, this class is very boring and not interesting enough for me to write weekly blogs about. |
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Haley FoxJust a high schooler trying to learn and blog. Archives
March 2017
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