1. The problem statement, all variables and given/known data Its not homework, i have the answer im just having a hard time wrapping my head around the concept of differentiating implicitly defined functions. the question was: x^3+y^3=3xy, find the equation of the tangent line at the point (3/2,3/2). 2. Relevant equations x^3+y^3=3xy 3. The attempt at a solution so what my prof did was: 1)x^3+y^3=3xy 2)3x^2+3y^2(dy/dx)=3y+3x(dy/dx) i get the part on the left, but i dont understand how he got the part on the right... :/ if anyone could just elaborate on the steps in between those two it would be much appreciated for my understanding. thank you.