The equation of curve C is 3x^2 + xy + y^2 - 4x - 6y + 7 = 0. Use implicit differentiation to find dy/dx in terms of x and y.

6x + xdy/dx + y + 2ydy/dx - 4 - 6dy/dx = 0xdy/dx + 2ydy/dx - 6dy/dx = 4 - 6x - ydy/dx (x + 2y - 6) = 4 - 6x - ydy/dx = (4-6x-y)/x+2y-6)