Math 2110 Section 13.8 Lagrange Multipliers

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This video explains what Lagrange Multipliers are and why they work. An example is given of how to work an optimization problem using the method of Lagrange Multipliers.
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Комментарии
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Very clear overview of LMs ... Thanks !

sanjeev
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Thanks, that helped. good graphics. Now back to Leonard Susskind's statistical mechanics, where he was struggling a bit to explain LMs.

glendeloid
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How does one know the direction of the Grad of the constraint function? I mean, how do we know if it is inwards or outwards?

forithall
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Thanks for this!

I am trying to gain intuition as to 'why'/'how' constraint gradient is parallel to target function at the max/min point? Why is constraint tangent to the function? Yes, I can see visually this at 4:58, but how do I convince myself it will always be the case? Any mathematical proof?

vedhaspandit
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This cannot be. You define g(x, y) = c. But then Nabla(g) = 0!

hannibal