Unformatted text preview: f ± ( x ) from a function f ( x ), and that this new function carries important information. In one example we saw that f ± ( x ) tells us how steep the graph of f ( x ) is; in another we saw that f ± ( x ) tells us the speed of an object if f ( x ) tells us the position of the object at time x . As we said earlier, this same mathematical idea is useful whenever f ( x ) represents some changing quantity and we...
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 Fall '07
 JonathanRogawski
 Math, Calculus, Derivative, Tan, lim

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