Implicit Differentiation and Critical Points

Question

For the curve defined by the implicit equation $$x^3 + y^3 - 9xy = 0$$, which statement correctly identifies all critical points?

Accepted Answer

Critical points occur at (0,0) and ($$\root{3}{54}$$,
$$\frac{(\root{3}{54})^2}{3}$$) only

Answer

Critical points occur at (3,3) and (0,0) only

Answer

Critical points occur at (3,3), (0,0), and (-3,-3)

Answer

The only critical point is at (3,3)

Question Leaderboard