= 12xy Differentiate, considering y as a function of x, y = y(x) : 3x^2 + 3y^2*y' = 12y + 12x*y' Collect the terms with y' in one side; the terms with no y' in the other side : 3y^2*y' - 12x*y' = 12y - 3x^2 y'*(3y^2 - 12x) = . Express y' : y' = , or, canceling the common factor 3 in the numerator and in the denominator, y' = , It is your answer.