Find the x-coordinates of the points where the tangent line is horizontal on the trident curve x
Question:
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 8).
2x3 − 5x2 + 1 = (2x − 1)(x2 − 2x − 1).
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Step by Step Answer:
Take the derivative of the equation of a trident curve to obtain xy ...View the full answer
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