Week 7: The Chain Rule

 This week in ap calc we took the quiz over 3.3 and 3.5. The quiz covered the derivative rules and anti deriving equations. Overall I think the quiz went better then most of the quizzes I have taken in this class thus far. I feel as though I had a good understanding of what I was doing. I also gained a better understanding of what a derivative is when I went through and corrected my 3.1-3.2 quiz. Before I did not understand the connection between tangent lines and derivatives but after revisiting it I now understand it. This week we also learned the chain rule. The chain rule is used when you have a composite function. For a chain rule involving a power you bring the power forward and multiply it by the inside and then you multiply that by the derivative of the inside.  The most important part of the chain rule is figuring out which part in the inside part and which part is the outside once you figure that out its a repetitive process that becomes easier the more its performed. Overall I understand the chain rule pretty well however sometimes I get confused when there's a problem involving doing the chain rule inside the chain rule.