Find the x-coordinates of the points where the tangent line is horizontal on the trident
Chapter 3, Problem 69(choose chapter or problem)
Find the x-coordinates of the points where the tangent line is horizontal on the trident curve xy = x3 5x2 + 2x 1, so named by Isaac Newton in his treatise on curves published in 1710 (Figure 13). Hint: 2x3 5x2 + 1 = (2x 1)(x2 2x 1). 20 20 2 8 6 4 2 x y FIGURE 13 Trident curve: xy = x3 5x2 + 2x 1
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