Solution: The point lies on the curve . (a) If is the point , use your calculator to
Chapter 2, Problem 3(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) 1.5 (ii) 1.9 (iii) 1.99 (iv) 1.999 (v) 2.5 (vi) 2.1 (vii) 2.01 (viii) 2.001 (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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