Mathematics · Multivariable Calculus
A function f: &mathbb;n → &mathbb; is CONCAVE if and only if:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1It has no saddle points
- 2Its first-order partial derivatives are all positive
- 3Its Hessian matrix is negative semi-definite everywhere✓
- 4Its Hessian matrix is positive semi-definite everywhere
Correct answer
Its Hessian matrix is negative semi-definite everywhere
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