Calculus 1: Linear Approximations and Differentials (Video #18) | Math with Professor V

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  • Опубліковано 7 лют 2025
  • Using the tangent line to a curve as a linear approximation for the function near the point of tangency. Examples finding the linearization of a a function at a certain point. Using differentials to approximate the change in a function, and graphically interpreting the change in f(x) versus the change in y in the tangent line (dy). #differentials #linearization #linearapproximation #calculus #calculus1 #mathtvwithprofessorv #math #youtubemath #mathvideos #calculusvideos #derivatives #differentialcalculus #calculushelp #calculustutor #mathprofessor #mathtutor #mathhelp #tangentline #equationoftangent
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КОМЕНТАРІ • 37

  • @mclovin6537
    @mclovin6537 2 роки тому +3

    I searched for linear approximations and am so glad I found your channel, well done.

    • @mathwithprofessorv
      @mathwithprofessorv  2 роки тому

      Yay thank you so much! I’m so glad you found my channel too. 😊

  • @shaunaugeri8200
    @shaunaugeri8200 Рік тому +2

    You’re the only video that talks about when a=0 you have to make an equation from .95=1+x and then solve for x, and that you can’t just plug in 0 which seems to not be in line with the last part of the equation (x-a). It was a really non-intuitive leap that I didn’t see. It IS annoying that all other problems I tried where a doesn’t equal 0, you can just plug that in fine and get a good answer. Long story short you just lowered my stress levels astronomically ❤

    • @mathwithprofessorv
      @mathwithprofessorv  Рік тому +2

      Nothing makes me happier than being able to help students like yourself!!!! ❤️❤️❤️ Thank you so much for your comment, I so appreciate it. 🥹 When I teach and record videos I try to keep everything as down to earth and natural as possible, always explaining what thoughts go through my head when I solve problems. Wishing you lots of success with the rest of your semester, and education! Xoxo, Professor V

  • @amyzhang6016
    @amyzhang6016 3 роки тому +2

    your explanation made the whole topic much easier. Thank you

  • @KM-kh3im
    @KM-kh3im 3 роки тому +1

    Nice video! You deserve more attention! Please continue with you great work.

  • @MagicStoryWorld123
    @MagicStoryWorld123 Рік тому

    I'm working on reset exam for calculus. This was so helpful. Thank you so Much. ❤❤

  • @sanly-cz3hd
    @sanly-cz3hd Рік тому

    wow, your lessons are incredible! you’re getting me through calc😭🙏TYSM

  • @marierri
    @marierri Рік тому

    Thank you so much for these videos Prof. V, they are truly super helpful and are giving me ease as I review for my Final.

  • @fadiglish6457
    @fadiglish6457 3 роки тому +1

    Thanks a lot .
    Your explanation was really helpful

  • @osobukolakanmi1173
    @osobukolakanmi1173 Рік тому

    Really helpful video

  • @carrykohli
    @carrykohli 10 місяців тому

    Thank you for the proper explanation...I wish you were my professor instead of my current one😂

  • @nicoledaniels3416
    @nicoledaniels3416 Рік тому

    Okay, I finally found an excellent Calc Prof. Thank you for all the tricks and tips. I should be paying you, not my current Prof.

  • @chidubemnwanisobi4999
    @chidubemnwanisobi4999 2 роки тому

    i honestly love your videos a lot lol.

  • @eddiefishpig
    @eddiefishpig 3 роки тому

    ECXELLENT explanation

  • @aliks4794
    @aliks4794 3 роки тому

    Great explanation. Thanks!

  • @aleksey3750
    @aleksey3750 2 роки тому +1

    your explanation is brilliant! tell me please the way how to give you 100 thumb ups:)

  • @lisandrolisandro8100
    @lisandrolisandro8100 Рік тому

    ok but your handwriting is so inspirational

  • @sanly-cz3hd
    @sanly-cz3hd Рік тому

    wow, your lessons are incredible! you’re getting me through calc😭🙏TYSM

    • @mathwithprofessorv
      @mathwithprofessorv  Рік тому +1

      You're so welcome! Thank you for your comment and support! 💕💕💕🫶🏻🥰

    • @sanly-cz3hd
      @sanly-cz3hd Рік тому

      @@mathwithprofessorv one question: is your patron still active? :) i’d love to support & access extra practice!

    • @mathwithprofessorv
      @mathwithprofessorv  Рік тому +1

      It is! I haven’t uploaded in a while because my patrons have become a little inactive, but if you join I’ll take requests and upload content weekly. 😊👍🏻

    • @sanly-cz3hd
      @sanly-cz3hd Рік тому

      @@mathwithprofessorv im joining for sure! :) thanks for the info