Lagrange multipliers in three dimensions with two constraints (KristaKingMath)

► My Partial Derivatives course: https://www.kristakingmath.com/partia...

Learn how to use Lagrange multipliers to find the extrema of a three-dimensional function, given two constraint functions. In order to complete this problem, you'll need to take partial derivatives of the original function, as well as each of the constraint functions. Then, you'll set up your equations in order to solve for two multipliers and the three variables from the original function. Once you've found values for the original variables, you'll plug those values into the original function. This will give you the value of a maximum or minimum of the function.

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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)

Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: http://www.kristakingmath.com

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