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The Slope Of a Curve

The Slope Of a Curve:

Consider the graph:


The slope of the curve is the slope of the secant line between point A and another point P on the graph.



Notice that h can change and with it the location of point P, therefore h is the limiting factor of the slope of the curve. As h gets close to point A, the slope of the curve becomes the tangent of the graph at point A.


The tangent line of f at point A is:



Subject X2: 

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