This week in AP Calculus was mainly focused on implicit differentiation. Implicit Differentiation is under the topic of derivatives and it ties in a lot of the stuff we have been doing over the past couple weeks such as the chain rule, product rule, and the quotient rule. This topic was somewhat difficult for me to rap my head around, but after doing the homework and going over the tougher problems in class, I now mostly understand what to do. The goal for Implicit Differentiation problems is to get dy/dx by itself on on side of the equation. The steps for solving an implicit differentiation problem is first taking the derivative of both sides of the function keeping in mind that y is a function not a variable, then you move all of the terms with dy/dx in them to one side, next you factor out dy/dx, and finally you divide to get dy/dx by itself on one side of the equation. The part I struggled with the most was remembering that y was not a variable but it was a function so every time you take the derivative of y, you have to use the chain rule which gives you the term dy/dx to solve the problem.
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January 2018
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