This week, I learned about derivatives, the inverse derivatives of trigonometric functions, and a lot of other things. This relates to previous topics because it continues on our understanding of derivatives. This matters because I am sure we are going to continue with derivatives at least until the trimester is over. That means we will have to remember all this information since each test is composed of all the previous topics as well as the current topic. I am sure all of the information we have learned about derivatives will help us with the next unit of information. I understood implicit differentiation really well this week. I struggled with everything at first, but then my grasp of all the concepts strengthened over time. Implicit differentiation is where you find the derivative of y with respect to x, when it is not expressed explicitly. This is y^2 + x^2 = 5, not y = x + 5. You take the derivative of each term like usual, but you tack on a dy/dx when you take the derivative of y. Then you solve and simplify. I thought my participation went very well this week with everything we did. I need to review for the upcoming test on Monday still.
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February 2015
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