Even Mountain Goats Know Calculus 🐐 | Lagrange Multipliers Explained
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YouTubeMath with Professor V
Even Mountain Goats Know Calculus 🐐 | Lagrange Multipliers Explained
Even mountain goats know calculus. 🐐 They climb straight up, perpendicular to the contour lines — literally following the gradient! And yes… even their poops are perpendicular too. 😂 This clip comes from my full Lagrange Multipliers lesson, where I break down why “gradient of f equals lambda times gradient of g” actually makes ...
4.5K views7 months ago
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Why ∇f = λ∇g in Lagrange Multipliers Actually Makes Sense
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Why ∇f = λ∇g in Lagrange Multipliers Actually Makes Sense
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Professor V 👩‍🏫 on Instagram: "Everyone learns to set up Lagrange multipliers, but most people never stop to ask why the gradients have to be parallel. Here’s the geometric reason: at the optimum, the contour of your function and the constraint curve “kiss.” They’re tangent, which means their gradients — the directions perpendicular to those curves — must point the same way. 💡 That’s what ∇f = λ∇g really means. 🎓 Want the full explanation + all five examples? It’s on my YouTube channel → Mat
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