The curve x³+y³ = 3xy was first discussed in 1638 by the French philosopher-mathematician René 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. 12 48 Find an equation of the tangent line at the point 65' 65 y 2 * -2 2 (Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f(x) and give the equation in terms of y and x.)

The curve x^3 + y^3 = 3xy was first discussed in 1638 by the French philosopher-mathematician René 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 (12/65, 48/65)

(Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f(x) and give the equation in terms of y and x.)

equation of the tangent line: