14.7: Maximum and Minimum Values (1/2)

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  • Опубліковано 7 сер 2024
  • Objective:
    16. Find extrema (relative) of a function of two variables and identify saddle points.
    This video focuses on identifying relative extrema, including background, vocabulary, and the 2nd partials test.

КОМЕНТАРІ • 42

  • @benjaminandrew7940
    @benjaminandrew7940 2 роки тому +4

    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!

  • @el_witcher
    @el_witcher 4 роки тому +18

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

  • @phuvu9215
    @phuvu9215 3 роки тому +7

    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.

  • @ktorres397
    @ktorres397 4 роки тому

    LOVE your videos! They're so helpful.

  • @ACBadussy
    @ACBadussy 4 роки тому +7

    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
      @alexandraniedden5337  4 роки тому

      Ah yes, I didn't post them all but most of them: ua-cam.com/play/PLGOk2-zeLtjC5hdU7p24RdC0_VZgsZCE1.html
      Good luck!

  • @alz1330
    @alz1330 3 роки тому +7

    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
      @alexandraniedden5337  3 роки тому +13

      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): ua-cam.com/video/NOqYzpI2_yg/v-deo.html
      My course is modeled after his, so this should be the rest.

  • @Rishisingh-mc7jk
    @Rishisingh-mc7jk 3 роки тому

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

  • @Rishisingh-mc7jk
    @Rishisingh-mc7jk 3 роки тому

    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

  • @lindsayharley
    @lindsayharley 3 роки тому

    YOU ARE THE BEST

  • @videosformybrain3606
    @videosformybrain3606 3 роки тому +7

    I cant believe I reached the end :(

  • @connorjohnson5590
    @connorjohnson5590 2 роки тому +1

    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.

  • @sozamb
    @sozamb 6 місяців тому +1

    Wouldnt it be -4/3? 22:45

  • @himanshiverma6388
    @himanshiverma6388 Місяць тому

    how is 128

  • @nj-j7034
    @nj-j7034 3 роки тому

    relly helpful. Thx

  • @sora_pakora3771
    @sora_pakora3771 Рік тому +1

    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?

  • @22tonda22
    @22tonda22 4 місяці тому

    14.7 Skarner rework gameplay where?

  • @matt9651
    @matt9651 3 роки тому +4

    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
      @alexandraniedden5337  3 роки тому +1

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

    • @matt9651
      @matt9651 3 роки тому +3

      @@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
      @alexandraniedden5337  3 роки тому +3

      @@matt9651 I'm not sure. Here is a colleague of mine teaching the same lesson (this is the second part of his lecture): ua-cam.com/video/NOqYzpI2_yg/v-deo.html
      My course is modeled after his, so this should be the rest.

    • @matt9651
      @matt9651 3 роки тому

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

    • @alexandraniedden5337
      @alexandraniedden5337  3 роки тому

      @@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!

  • @juliak9899
    @juliak9899 3 роки тому +1

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

    • @alexandraniedden5337
      @alexandraniedden5337  3 роки тому +2

      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
      @juliak9899 3 роки тому

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

  • @jakeb110
    @jakeb110 3 роки тому

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

    • @alexandraniedden5337
      @alexandraniedden5337  3 роки тому

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

    • @jakeb110
      @jakeb110 3 роки тому +1

      @@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
    @geraldcalero4179 3 роки тому

    Is there a part 2 of this viedo?

  • @awaissherani5550
    @awaissherani5550 3 роки тому +1

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

    • @alexandraniedden5337
      @alexandraniedden5337  3 роки тому +2

      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): ua-cam.com/video/Qx7ph1gZAho/v-deo.html
      Here is the 2nd part of the 14.7 lecture (taught by that same colleague):
      ua-cam.com/video/NOqYzpI2_yg/v-deo.html
      My course is modeled after his, so this should be the rest.

    • @awaissherani5550
      @awaissherani5550 3 роки тому

      @@alexandraniedden5337 okay thank you mam

  • @humayratuba6251
    @humayratuba6251 2 роки тому

    Uh, where is apart 2?

  • @zeyad7947
    @zeyad7947 2 роки тому

    if only u were my professor

  • @msocial2881
    @msocial2881 4 роки тому +3

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

    • @alexandraniedden5337
      @alexandraniedden5337  4 роки тому +1

      No - I didn't record either. Sorry!

    • @alexandraniedden5337
      @alexandraniedden5337  4 роки тому +14

      I'm not sure exactly what you're looking for, but these may be helpful:
      2nd part of 14.7 (finding absolute extrema): ua-cam.com/video/NOqYzpI2_yg/v-deo.html
      Lagrange mutlipliers: ua-cam.com/video/Qx7ph1gZAho/v-deo.html

    • @barzillaymbuyi662
      @barzillaymbuyi662 3 роки тому

      @@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