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
0:28
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
15.7K views6 months ago
Instagrammathwithprofessorv
Professor V 👩‍🏫 on Instagram: "These Calc 3 exams were so pretty to grade today ✨ The graphs were on point and most of them had such a clean start that I really thought I’d breeze through the stack… almost 😅 If you ever need extra support with Calc 3, I have tons of walkthroughs on my YouTube channel: Math with Professor V 💛📚 xoxo, Professor V #calculus3 #calc3 #multivariablecalculus #vectorcalculus #mathreels #professorlife #grading #mathwithprofessorv #calculushelp #collegealgebra #stemto
0:43
Professor V 👩‍🏫 on Instagram: "These Calc 3 exams were so pretty to grade today ✨ The graphs were on point and most of them had such a clean start that I really thought I’d breeze through the stack… almost 😅 If you ever need extra support with Calc 3, I have tons of walkthroughs on my YouTube channel: Math with Professor V 💛📚 xoxo, Professor V #calculus3 #calc3 #multivariablecalculus #vectorcalculus #mathreels #professorlife #grading #mathwithprofessorv #calculushelp #collegealgebra #stemto
252.1K views4 months ago
Instagrammathwithprofessorv
Professor V 👩‍🏫 on Instagram: "Apparently, even mountain goats understand gradients — they climb straight up, perpendicular to the contour lines… and yes, even their poops follow the math. 😂 If you want Lagrange multipliers (and calculus in general) to actually make sense, go watch the full video on my YouTube channel → Math with Professor V! I break everything down — Calculus 3, Calculus 2, Calculus 1, Differential Equations, Statistics, Precalculus, and so much more — in a way that’s clear,
0:37
Professor V 👩‍🏫 on Instagram: "Apparently, even mountain goats understand gradients — they climb straight up, perpendicular to the contour lines… and yes, even their poops follow the math. 😂 If you want Lagrange multipliers (and calculus in general) to actually make sense, go watch the full video on my YouTube channel → Math with Professor V! I break everything down — Calculus 3, Calculus 2, Calculus 1, Differential Equations, Statistics, Precalculus, and so much more — in a way that’s clear,
30.8K views6 months ago
Instagrammathwithprofessorv
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