Absolute max and min values Problem 1 (Multivariable Calculus)

This problem goes over how to find the absolute maximum and absolute minimum values of a function of two variables on a closed, bounded region. It's very similar to how this is done in calculus 1, where you check the values of the function at the critical points and endpoints of the interval. Now, the boundary of a region is a curve.
Looking for a specific problem or topic? Try checking my website:
www.blacktshirtmathprofessor....

[@magaplex6476]

I always thought finding the critical points of a circular region was the hardest thing ever, but this video has given me such a clear understanding of it, and for that I thank you!

[@gretchenhe6726]

Thank you so much! This makes a lot more sense!

[@zizobob1082]

Best prof. NO CAP 🧢

[@Bedoroski]

Great video. This helped a lor

[@eulzzzz7682]

Sir how did you check without inserting the boundary values on to the function is that possible to find the max and min value just by seeing the boundary value max and min?🙏

[@SweetBonanza2001]

love you man

[@philippelevesque4801]

THANK YOU SO MUCH

[@muffindestroyeritsmumblintime.]

why do we split the boundary as top and bottom and not left and right?

[@azizkash286]

Thank you sir

[@Jarrodjohn2007]

Nice!

[@QuocAnhHandsome]

-4 <= x <= 4, so x can be -4 or 4.

[@rakibulhaque3444]

thanks boss

[@rogersssali9722]

Very complicated

[@SweetBonanza2001]

Why did you have to calculate the end points (4,0) & (-4, 0) for both curve functions. Is it possible for a point to have different values?

[@brightknight0623]

Do Lagrange multipliers work for this?