Mathematics · Calculus
For the function f(x, y) = x3 + y3 - 4axy (a > 0), which of the following is correct?
- 1The function has saddle points at (0, 0) and (4a/3, 4a/3).
- 2The function has a minimum at (4a/3, 4a/3).✓
- 3The function has a saddle point at (4a/3, 4a/3).
- 4The function has a minimum and a maximum at (0, 0).
Correct answer
The function has a minimum at (4a/3, 4a/3).
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