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

1. An antiderivative is
a family of functions.
Auntie Derivative and
her Family of Functions
(really this time)
flickr derivatives 6

2. List all the derivative rules you can remember:

3. List all the derivative rules you can remember:

9. LEMMA

11. Let's look at an application of this ...
an example

12. 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?

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