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0:29
YouTube
Math with Professor V
Why ∇f = λ∇g in Lagrange Multipliers Actually Makes Sense
Everyone memorizes the formula “gradient of f equals lambda times gradient of g,” but most people never stop to ask why it works. Here’s the real reason: at the optimum, the contour of your function and the constraint curve “kiss.” They’re tangent — they touch but don’t cross. And since gradients always point perpendicular to ...
1.7K views
1 month ago
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