The point lies on the curve . (a) If is the point , find

Chapter 2, Problem 2.12

(choose chapter or problem)

The point lies on the curve . (a) If is the point , find the slope of the secant line (correct to four decimal places) for , 1.5, 1.4, 1.3, 1.2, 1.1, 0.5, 0.6, 0.7, 0.8, and 0.9. Do the slopes appear to be approaching a limit? ; (b) Use a graph of the curve to explain why the slopes of the secant lines in part (a) are not close to the slope of the tangent line at . (c) By choosing appropriate secant lines, estimate the slope of the tangent line at P.

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