14.7: Maximum and Minimum Values (1/2)

[@benjaminandrew7940]

saving me in college right now. You have a voice that grabs attention and doesn't put me to sleep which is so hard to come by!

[@phuvu9215]

Thank you so much for your videos from 14.1. You walked me through these chapters with very straightforward problem solving and knowledge explanation when my Professor's lectures are just him reading again what is in the textbook. I am looking forward to seeing more of your videos.

[@el_witcher]

Would you please continue the series? We love youu. Thanks.

[@ACBadussy]

Hey Alexandra! I miss your videos so much :(( I'm currently doing a multivariable unit and you've got me through it thus far. I really wish you had uploaded more lectures covering this unit. You have my utmost gratitude :D

[@alexandraniedden5337]

Ah yes, I didn't post them all but most of them: kzbin.info/aero/PLGOk2-zeLtjC5hdU7p24RdC0_VZgsZCE1 Good luck!

[@alz1330]

First of all, I love your videos. I LOVE THAT YOU EXPLAIN THE ORIGIN AND HOW EVERYTHING GOES FROM CALC 2 TO CALC 3. Can you please post notes for 14.7 part 2.

[@alexandraniedden5337]

I am sorry, but I did not record the 2nd part of the 14.7 lecture. Here is a colleague of mine teaching the same lesson (this is the second part of his lecture): kzbin.info/www/bejne/hIDUiq2mfpeSr8k My course is modeled after his, so this should be the rest.

[@connorjohnson5590]

Hi, I am currently a college student with no money, but if you have a venmo, I would gladly give you what I have left because your videos saved my GPA and actually taught me math. Thank you, from the depths of my soul.

[@Rishisingh-mc7jk]

Watching this series from India. Will be watching multiple integrals series too

[@videosformybrain3606]

I cant believe I reached the end :(

[@Rishisingh-mc7jk]

Whatever questions you give homework to your students or any extra questions like assignments you May have given to your past students can you please provide that in description of each video of your series for each topic. It will be very helpful

[@sora_pakora3771]

at 37:11 why is Fxx < 0 in the table if for the critical point (-1, -1) you would sub that into Fxx which is -12(-1) = 12 > 0 hence should it not conclude to be a relative/local minimum?

[@jamesmcdaniel7588]

I was thinking the same thing...

[@himanshiverma6388]

how is 128

[@sozamb]

Wouldnt it be -4/3? 22:45

[@ktorres397]

LOVE your videos! They're so helpful.

[@matt9651]

Hi Doctor Budden, I am currently using your videos to study for my class and am curious where is part 2/2 for this video?

[@alexandraniedden5337]

I unfortunately did not record part 2. Sorry about that!

[@matt9651]

@@alexandraniedden5337 do you know how much information it covers? my entire class has been using your videos since it's hard to follow my professors lectures and you make the material very clear for this book.

[@alexandraniedden5337]

@@matt9651 I'm not sure. Here is a colleague of mine teaching the same lesson (this is the second part of his lecture): kzbin.info/www/bejne/hIDUiq2mfpeSr8k My course is modeled after his, so this should be the rest.

[@matt9651]

@@alexandraniedden5337 Do you think you are going to continue any lectures from this book at all? My class is currently on lagrange multiples.

[@alexandraniedden5337]

@@matt9651 Hi Matt. All recorded lectures that I have are currently posted. I missed recording some. Most of chapter 15 should be there. Happy studying!

[@lindsayharley]

YOU ARE THE BEST

[@22tonda22]

14.7 Skarner rework gameplay where?

[@nj-j7034]

relly helpful. Thx

[@juliak9899]

Might be a dumb question but could you please explain why it's a max in x at 16:50?

[@alexandraniedden5337]

Not a dumb question at all! My explanation was worded poorly. Consider the intersection of the hyperbolic paraboloid and the plane x = k, the plane that will go through the plotted point. That intersection will leave a parabola opening down, with that point as the vertex. As we move down the parabola, the value of f(x, y) decreases. Hence f(x, y) reaches a max when at that point, and decreases as we move away from that point in the x direction. As we move from that point in the y-direction, f(x, y) increases. Hence, f(x, y) reaches a minimum in the y-direction at that point. I hope that's clearer.

[@juliak9899]

@@alexandraniedden5337 Ohh okay yes I understand now! Thank you a lot, you make math much easier to understand.

[@awaissherani5550]

Please Upload its 2nd Second Part and also upload 14.8 ASAP

[@alexandraniedden5337]

My 2nd lecture and my 14.8 lecture were not recorded. Here is 14.8 as taught by my colleague (different section number, same topic): kzbin.info/www/bejne/h6maoZtnnL90ntE Here is the 2nd part of the 14.7 lecture (taught by that same colleague): kzbin.info/www/bejne/hIDUiq2mfpeSr8k My course is modeled after his, so this should be the rest.

[@awaissherani5550]

@@alexandraniedden5337 okay thank you mam

[@humayratuba6251]

Uh, where is apart 2?

[@msocial2881]

is there 14.8??? or part 2 of 14.7???

[@alexandraniedden5337]

No - I didn't record either. Sorry!

[@alexandraniedden5337]

I'm not sure exactly what you're looking for, but these may be helpful: 2nd part of 14.7 (finding absolute extrema): kzbin.info/www/bejne/hIDUiq2mfpeSr8k Lagrange mutlipliers: kzbin.info/www/bejne/h6maoZtnnL90ntE

[@barzillaymbuyi662]

@@alexandraniedden5337 I was really looking for 14.7 part 2 .:. Thanks for the Link BUT i would enjoy it more if it was you teaching. I really LOVE

[@zeyad7947]

if only u were my professor

[@jakeb110]

how'd you get the crit point at the end I cant see how y=x^3 can become 1-x^8

[@alexandraniedden5337]

Can you give me a time stamp as a reference please?

[@jakeb110]

@@alexandraniedden5337 35:53 but I also just figured out that you pulled a 4x out so I get it now, thank you for making these they help so much!

[@geraldcalero4179]

Is there a part 2 of this viedo?

[@alexandraniedden5337]

It wasn't recorded. Sorry!