flickr derivatives 6

Auntie Derivative and her Family of Functions

(really this time)

An antiderivative is a family of functions.

List all the derivative rules you can remember:

List all the derivative rules you can remember:

LEMMA

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

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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