Mathematics · Differential Calculus
Consider the function f(x, y) = (x - 3)2(y + 4). Which of the following is correct regarding the point (3, -4)?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1(3, -4) is not a stationary point of f
- 2f has a local minimum at (3, -4)
- 3f has a saddle point (neither local maximum nor local minimum) at (3, -4)✓
- 4f has a local maximum at (3, -4)
Correct answer
f has a saddle point (neither local maximum nor local minimum) at (3, -4)
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