- #1
danni7070
- 92
- 0
This is my problem:
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 ?
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 ?