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1) Suppose that the function y = f(x) satisfies the equation x^3+y^3 = 3xy and is differentiable.

Find a formula for the derivative y' showing it dependent on x and y.

Well, I really don't know what to do but here goes....

Is it y' = f'(x) = x^3+y^3 = 3xy

Then i have to isolate y (for example y^3) and then derive?

That gives me y = 3sqrt(3xy-x3) and I should derive that formula right ?

If i'm right about this I'm still stuck in problem two which is:

2= Show that for t is not −1 and t is not 0 the line y = tx intersects the folium of Descartes in exactly one point different from (0, 0), and find that point.

I'm clueless now.

Anyone ?