The curve x 3 + y 3 = 3xy (Figure 7) was first discussed in 1638 by

Question:

The curve x³+ y³= 3xy (Figure 7) was first discussed in 1638 by the French philosopher ma the matician Ren´e Descartes, who called it the folium (meaning “leaf”). Descartes’s scientific colleague Gilles de Roberval called it the jasmine flower. Both men believed incorrectly that the leaf shape in the first quadrant was repeated in each quadrant, giving the appearance of petals of a flower. Find an equation of the tangent line at the point (2/3 , 4/3).

2. 24t y -2+ 2 X