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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:
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