Question:
Let f : \(\R^2 → \R\) be the function defined by
f(x, y) = 8(x2 - y2) - x4 + y4.
Then which of the following statements is/are true ?
Let f : \(\R^2 → \R\) be the function defined by
f(x, y) = 8(x2 - y2) - x4 + y4.
Then which of the following statements is/are true ?
f(x, y) = 8(x2 - y2) - x4 + y4.
Then which of the following statements is/are true ?
Updated On: Oct 1, 2024
- f has 9 critical points
- f has a saddle point at (2, 2)
- f has a local maximum at (−2, 0)
- f has a local minimum at (0, −2)
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The Correct Option is A, B, C, D
Solution and Explanation
The correct option is (A) : f has 9 critical points, (B) : f has a saddle point at (2, 2), (C) : f has a local maximum at (−2, 0) and (D) : f has a local minimum at (0, −2).
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