Lagrange Multipliers - Part 1

This video will show how to apply the method of Lagrange Multipliers to a function with two independent variables.

[hugoandresanguloorquera]

Your explanation is just amazing. I could finally be able to understand what is going on with this Lagrange Multipliers!!! The geometric representation was the key to picture it clearly. Thanks.

[malleharana]

You are such a good teacher! I actually understand everything when you teach it

[gla]

Your channel is one of the best on YouTube, thank you!

[garyk]

In the second example, I don't think that there are four critical points.  There should only be two.  The points where the x- and y-coordinates have the same sign are the only points where the equation y = 2x (from the lambda constraints) is satisfied.  Also those are the only points where the constraint curve is tangent to the level curves of f.  In the second and fourth quadrants the constraint curve is never parallel to the level curves of f.

[georgeabreu]

The visuals are amazing for intuitive understanding. Thank you much!

[tobipertlwieser]

Within 5 seconds you explained me the world

[phanindratube]

You saved my life bro! Without your 3d viz Lagrange would never make it to my head.

[eliasoichen]

Your channel is so good to repeat mathematics. Thanks

[overanalyzer]

Very well done! Made so much more sense than my overpriced textbook. The visuals make a huge difference for visual learners like myself. 

[lhachePasatiempos]

Muchas gracias por tu video. Perfectamente comprensible. Me sirvió mucho.

[scotttringali]

Such a great help, very clear and informative. Thanks.

[fikret]

this is very helpful especially the logic of this thanks a lot

[jessicabrown]

If x>0, why did you solve for f(-1/sqrt(2)), 1/2) when x cannot be negative?

[abdelkaderhamadi]

Hi, i like your video, please what is the name of the software that you used, thanks for your answer.

[lavc]

when we try to find reiman sum what if the function is not polynomial and it is LN or ... how we can apply the reiman rule for those?

[theadel]

You can’t just divide by x to get rid of it without stating that it doesn’t equal zero and finding values if it equals zero !

[markkennedy]

Hi can you tell me what del g(X) actually represents geometrically. I ask because I want to get better intuition for the lining up of del f(X) and del g (X) and why the max and mins occur when these two gradients line up. I understand that I can think of del g(X) as just the normal vector of the constraint curve. Every video explains the direction of this vector but could you explain how the size of this normal vector comes about geometrically. Since it determines lambda, it's size is important so I just wanted to get more intuition on this.

If you can answer this I would be so grateful.

[ranam]

My question may be strange but I have no one to ask this can you tell me a Lagrange algorithm to find a minimum arbitrary volume within another volume which can contain it by maximum of it inside it or minimum of it out side 🙏🙏🙏

[nakpass]

would x=-1/2 be part of the solution since x>0 ?

[nafal]

what program do you use to graph those functions ?