Wednesday, May 5, 2010

May 4 - Slope of a curve


The main concept for today was the definition of the derivative. Imagine two points on a curve - call them (x, f(x)) and (c, f(c)). Calculate the slope between those points (change in y over change in x) and then take the limit of that expression as x -> c (which implies that the two points "move" ever closer together). The value of the limit can be interpreted as the slope at that point (c, f(c)).

Thanks to Rachel for her notes for today.

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