The solution process would likely require the process (rather complex) for finding the roots of cubic polynomials. Are you required to graph this, or are you being asked for solutions, or some other task?How can I graph the following equation?
x^3 * y^2 = x * y^3 + 6
I don't know how to isolate y (to get y as a function of x).
You enquired regarding solving the original equation for y in terms of x. Now you mention graphing, differentiating, finding tangent lines, etc. Kindly please furnish the text of the exercise, as this should serve to clarify what is needing to be done. Thank you.If I could graph this equation, I would be able to see what points (x,y) are on this graph, so then I could derive the slopes of the tangent lines at several of these points.