13 textbook authors are upset at how informative this series is!

your animations are beautiful ... when I studied this 30 years ago nothing like this was available ... I can't tell you how much I enjoy going through this now again ... thanks so much

I just realised you're 3Blue1Brown from the sound of your voice. Nice to see you on different channels :)

mathematics when explained this way is actually much more interesting.

The voice is actually strangely close Khan's. I was confused at first. Awesome video!

This guy is a legend!

There would be (in this pecular case) a trick to make this a single-variable calculus problem : replace x with cos t and y with sin t, and whoops, you're done, the problem is now to maximize a function of t  :-)

Whoa...this guy's voice sounds gentle now completely different from Linear Algebra videos...i like the old voice better.

Grant you are the man.  You are making my startup possible.

When the two most appreciated educators team up. 😍

truth be told, I've been using this method for solving optimization problems for some 6 years now, but I understood the concept only after I watched this playlist.
MOST INFORMATIVE EVER !

I always enjoy your videos. In terms of this kind of math videos, however, i wish videos are aligned sorted under the categories ;)

What an explanation!!! Marvelous. Starting from visualization going to formulation to algebraic equation to solve. You are amazing!!! Do I need to read thick book?? No. This is the time of fast learning and get on with action

We could think of parameterizing the given constraint in terms of a single parameter, say t, substitute in f(x,y) to get a single variable function f(t), and hence put f'(t)=0, find maxima, and back-substitute to get maximum value. Here, x=1cos(t), y=1sin(t) can be used to easily obtain maximum value under constraint.

This couldn't be more important at a time like this. #COVID19

but wouldn't this be the case only if the function is increasing with x and y?

you can use the other two tangent points to find the minimum of f(x,y), right?

How this video was made? Which tool permits to project a curve on a surface and at the same time to write beside it?

How many ways to solve constrained optimization problems? Anyone knows?

Ohhh thank you. Your videos on optimization and linear algebra has made life much easier for me :) Thank you so much. Could we ask you to make some videos about optimization with inequality constraints? The way you explain the math, makes math easy and enjoyable.