Find dydx\frac{dy}{dx}dxdy by implicit differentiation for xy+y2=6xy + y^2 = 6xy+y2=6.
−yx+2y\frac{-y}{x + 2y}x+2y−y
yx+2y\frac{y}{x+2y}x+2yy
−y2y\frac{-y}{2y}2y−y
xx+2y\frac{x}{x+2y}x+2yx