Exercise 12.2 The quantity y is related to x through the equation 12,3 - 613, 2+ 2 xy = 1. Find dvdx. Show that yo - 3y2 + 4y-4 =(v - 2)/(v) where f(y) =y2 - y + 2. Noting that f(y) > 0 for all y, deduce that when x = 1/2, y = 2. Calculate dy/dx when x = 1/2