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# AP Calculus December 16, 2008

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A couple of quick derivative proofs, antiderivatives, and a couple of applications.

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### AP Calculus December 16, 2008

1. 1. An antiderivative is a family of functions. Auntie Derivative and her Family of Functions (really this time) ﬂickr derivatives 6
2. 2. List all the derivative rules you can remember:
3. 3. List all the derivative rules you can remember:
4. 4. LEMMA
5. 5. Let's look at an application of this ... an example
6. 6. Another application ... http://archives.math.utk.edu/visual.calculus/4/antider.8/index.html Suppose that a train is moving so that its velocity is 120 mph. The brakes are applied and the train decelerates at the rate of 0.6 miles/min./min. How far does the train travel before it stops?