00:01
So the topic for this video is to use the method of lagrange to find maximums and minimums of certain functions given certain constraints.
00:14
And here we're asked to find the minimum of f with the constraint of g.
00:19
Now, first thing is you must always make sure that g is equal to zero, which is already is, so that's done with.
00:29
To find the minimum and maximums using the lagrange method, well, you need to have the gradient of f equal lambda times the gradient of g.
00:41
This implies that f of f subscript x will equal to lambda g subscript x.
00:50
So these two will equal each other.
00:52
And then f subscript y will equal to lambda g subscript y.
00:57
So these two will equal to each other.
01:01
This will translate to equation one, and this will translate to equation two...