So I was just thrown for a loop by the phrase
"the derivative of a function f at a point x is the limit of the
gradients of a sequence of chords of the graph off"
It makes much more sense once I hit wikipedia http://en.wikipedia.org/wiki/Chord_(geometry)
The chord is just the line between two points and the circle and in this case the derivitive at a point is gradient or slope of the line as the chord shortens till that line is ifinetly small and we are essential dealing with a point.
We also see the sequence of chords since this is the derivative of a function rather than a single point.
Makes sense, the vocab though threw me off for a bit.
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