Find and Classify all Critical Points of a Multivariable Function

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  • Опубликовано: 13 янв 2025

Комментарии • 38

  • @maykekongolo8940
    @maykekongolo8940 2 месяца назад +2

    The only video on RUclips that matters on this topic actually. Thanks man

  • @nickbelemet4257
    @nickbelemet4257 Год назад +10

    the energy was so scary it was like watching a horror movie but in the best way possible. you took us on a journey full of suspense and excitement! amazing, I'm going to smash these exams thanks to you!!

  • @jonjonmia
    @jonjonmia 3 года назад +11

    This video is amazing! The energy and your explanations is unmatched on youtube! Thank you

  • @sreyanjali
    @sreyanjali Год назад +1

    finally a video that’s actually helpful, i watched tons and all of them solved pretty simple questions

  • @Itsme-ti8hv
    @Itsme-ti8hv Год назад

    thank you for the video, i love that you were not doing unnecessary easy computation, but went straight to the point and saved my time. i liked the video

  • @evawithay
    @evawithay 2 года назад +5

    You are saving me for this final. Thank you so so much! Amazing explanation

  • @fabianaltendorfer11
    @fabianaltendorfer11 11 месяцев назад

    Really nice video thanks Nakia!

  • @karlhakansson3466
    @karlhakansson3466 Год назад

    Really great explained. You deserve million subscribers

  • @azeemq1
    @azeemq1 3 года назад

    I like your energy. thanks for the help

  • @nabihahsafiyahmohdazizan4995
    @nabihahsafiyahmohdazizan4995 3 года назад

    How to know 3:06 ? Like how did you get y=0 or y=2?

    • @NakiaRimmer
      @NakiaRimmer  3 года назад

      I should have been more clear, I am setting the expression 3y(y-2) equal to zero since critical points occur when the first partial derivatives are zero simultaneously.

  • @chemongesdaniel2187
    @chemongesdaniel2187 Год назад

    Waaaaw amazing teacher 😊

  • @elihorne9050
    @elihorne9050 3 года назад

    This was great. It really helped me.

  • @Matthew-rs6rq
    @Matthew-rs6rq 3 года назад +1

    fantastic video!!

  • @lindajemeli5504
    @lindajemeli5504 3 года назад

    Thankyou for this .it was really helpful

  • @ahmadmajzoub2313
    @ahmadmajzoub2313 7 месяцев назад

    THANK YOU I LOVE YOU

  • @jd-gw4gr
    @jd-gw4gr 3 года назад

    excellent problem has max, min and saddle points!!!!

  • @aryanrao1478
    @aryanrao1478 Год назад

    Thank you so much

  • @yussifmukhtar504
    @yussifmukhtar504 2 года назад

    Great video... thanks

  • @gabrielbuckner1468
    @gabrielbuckner1468 2 года назад

    Thank you this helped

  • @jacoblutz6211
    @jacoblutz6211 Год назад

    Why is it that when you analyze the sign of D(x,y) and it becomes >0, that you always analyze fxx. Why not fyy or fxy or even f(x,y). What's the reason for this?

    • @NakiaRimmer
      @NakiaRimmer  Год назад

      Great question! I’m going to throw out a bunch of terms and give you a link to a video. If that video doesn’t do it for you, then throw the terms into the search and hopefully you can find a better one.

    • @NakiaRimmer
      @NakiaRimmer  Год назад

      For a function f(x,y), there is a matrix made up of the second partial derivatives. That matrix is called the Hessian. The determinant of this matrix along with the eigenvalues of the matrix are used to classify critical points.

    • @NakiaRimmer
      @NakiaRimmer  Год назад +1

      The determining factor that distinguishes a local max from a local min is the calculation of whether the matrix is positive definite or negative definite. Checking the sign of f_xx is a shortcut to this calculation.

    • @NakiaRimmer
      @NakiaRimmer  Год назад

      ruclips.net/video/dj6uAP_RwB0/видео.html

  • @اممحمد-ق2ه
    @اممحمد-ق2ه 3 года назад

    Can you help please
    how classification of critical points of system in three equation in 3d

  • @اممحمد-ق2ه
    @اممحمد-ق2ه 3 года назад

    Hi and thanks a lot for your help! My problem is the following: I would like to draw a phase diagram for a system of 3 differential equations And it has three parameters

  • @ndivhomusehane3296
    @ndivhomusehane3296 3 года назад

    what happened to 3x^2 when you moved to 3y^2-6y

    • @NakiaRimmer
      @NakiaRimmer  3 года назад +1

      That was under the case where x = 0

  • @ferhanyildiz7892
    @ferhanyildiz7892 3 года назад

    Thank you! Great explanation

  • @TheGibberingGoblin
    @TheGibberingGoblin 4 месяца назад

    bump

  • @chemongesdaniel2187
    @chemongesdaniel2187 Год назад

    Waaaaw amazing teacher 😊