Using Lagrange multipliers, which condition identifies a constrained stationary point of f(x, y) subject to g(x, y) = 0?
Correct answer: B. ∇f = λ∇g
- A. ∇f = ∇g
- B. ∇f = λ∇g
- C. f = λg
- D. ∇f + ∇g = 1
Explanation
At a regular constrained stationary point, the gradient of the objective is parallel to the gradient of the constraint. This is expressed as ∇f = λ∇g, where λ is the Lagrange multiplier.
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