I think it's correct.
I have solved the following can you tell me if i am correct?
Find dy/dx for the implicit expression
(x^2)y + 3x(y^2) + 6(x^3)=5
differentiating both sides;
(x^2)(dy/dx) + 2xy + (6xy)(dy/dx)+ 3y^2 + 18x^2=0
(dy/dx) [x^2 + 6xy] = -2xy - 3y^2 - 18x^2
dy/dx= [-2xy - 3y^2 - 18x^2]/[x^2 + 6xy]