# How do you implicitly differentiate xy^2 + 2xy = 11-1/y?

${y}^{2} + 2 x y \frac{\mathrm{dy}}{\mathrm{dx}} + 2 y + 2 x \frac{\mathrm{dy}}{\mathrm{dx}} = \frac{1}{y} ^ 2 \frac{\mathrm{dy}}{\mathrm{dx}}$