This week in AP Calc, we applied what we know about derivatives to solve story problems. We found the derivative after setting up some equations to solve the problem. By doing this, we are able to optimize the problem in whatever way it wants us to. The derivative gives us critical points. Through this, we can determine the minimum and maximum of the problem. By using this method, we can do things like maximize the volume of a box. What you must do is set up the equations for volume of a box. Set up the variables you know. Find the derivative. Solve for the unknown variable. Plug this back into the equations if needed. The quiz over this went fairly well for me, but I think derivative applications was a fairly difficult chapter. We are now looking at rate problems. In these, we must understand the problem and how far and at what rate things are traveling. We must then differentiate the function with relation to time. Plugging in what you know will give you what you need to know. This is basically just a different type of application problem. We'll see how it goes, but I feel pretty decent about it.
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February 2015
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