This week we learned more about derivatives!!!!!!! WOOT WOOT!!!! We learned a bunch of rules for solving more complex derivatives including for quotient and multiplicative derivatives, trigonometric derivatives, anti-derivatives, and higher order derivatives. I feel pretty good about this unit so far. I have already learned the quotient rule and the product rule by heart from the homework. The one thing that I have been having difficulty with isn't even conceptual- I just have a very hard time remembering the +C that you have to include on the end of antiderivatives. In a derivative there is no evidence to tell you if there is a constant in the original function. This is because constants do not affect the slope, they affect the position of the function in respect to the y-axis, and since the derivative is the slope of the tangent at any point, it only takes into account the parts of the function that affect slope. For this reason the original function of a derivative could have any constant in the function. It is unclear which, so when doing antiderivatives you have to include +C. I need to find a way to remember the +C.
Below I have included a method of rearranging a problem so that you can avoid using the quotient rule over and over again.
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January 2018
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