69. 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: 2x – 5x² +1= (2x – 1)(x² – 2x – 1). 20 -20 FIGURE 13 Trident curve: xy =x³ – 5x? + 2x – 1.

69. 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: 2x – 5x² +1= (2x – 1)(x² – 2x – 1). 20 -20 FIGURE 13 Trident curve: xy =x³ – 5x? + 2x – 1.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.2: Introduction To Conics: parabolas

Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.

See similar textbooks