The point lies on the curve . (a) If is the point , use
Chapter 2, Problem 2.6(choose chapter or problem)
The point lies on the curve . (a) If is the point , use your calculator to find the slope of the secant line (correct to six decimal places) for the following values of : (i) 0.5 (ii) 0.9 (iii) 0.99 (iv) 0.999 (v) 1.5 (vi) 1.1 (vii) 1.01 (viii) 1.001 (b) Using the results of part (a), guess the value of the slope of the tangent line to the curve at . (c) Using the slope from part (b), find an equation of the tangent line to the curve at
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