Geometry of the Derivatives (3 of 6: Points of inflexion)

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  • Опубликовано: 6 фев 2025
  • More resources available at www.misterwootube.com

Комментарии • 28

  •  4 года назад +2

    Eddie Woo,
    I repeat it so that there are no any doubts:
    Your work is wonderful and precious.
    Of course that my reference to the fact that I think that you are the Wikipedia of Mathematics is, clearly, my modest greeting for you.
    So, again, thank you very much and stay safe, stay well.
    To you, the Best.
    José Couto
    Porto
    Portugal

  • @emiloberg2110
    @emiloberg2110 4 года назад +3

    Points of inflexions are also very useful in chemistry to find the equivalence points on a titration curve. You can also find a point of inflexion graphically by looking at the tangent; at the point of inflexion the tangent has to "change side" so that it doesn't intersect the curve

    • @godson200
      @godson200 4 года назад

      But my point is how do you exactly draw a graph in chemistry? Reactions take place in milliseconds

    • @emiloberg2110
      @emiloberg2110 4 года назад +1

      ​@@godson200 A common curve in chemistry is a titration curve which is done by plotting a graph of pH vs volume of a acid-base titration. You slowly drip some weak base into an acid and test the pH. This will give you a graph that shows you the change in pH and it will be the steepest at the point of inflexion, the equivalence point (or multiple equivalence points, if it's a polyprotic acid). In this point you need to draw the tangent on the other side of the curve or the tangent intersects it. This point is when the concentration of the acid [HA] is equal to the concentration of the of hydroxide ions [OH-], [HA]=[OH-]. That means that there is now equal amounts of base and acid in the solution. You use this point to find the half-equivalence point where the pH is equal to the pKa of the acid (characteristic of all acids) that you can compare to a table. (For the concentrations I used a general formula of HA + OH- -> H2O + A-, which is a monoprotic acid. For polyprotic acids, you need to repeat the process for the other points to be able to determine the acid.) Sorry if it's a messy comment. I tried to translate my knowledge of chemistry into english so some terms might be incorrect as they are direct translations of the Swedish terms.

    • @emiloberg2110
      @emiloberg2110 4 года назад

      Anushruta Mitra well, that would be incredibly difficult as you would need an infinite amount of readings. Often you use some kind of regression to approximate a curve, eg linear regression. Though to my knowledge there isn’t any part of chemistry that would be interested in exact curves as experiments and tests more often than not don’t produce results that would work nicely for it, eg mass spectrometry. UV-vis calibration curves are for example approximations that fit linear regressions. Results can be very exact in good experiments and stuff like that but will not produce “clean” algebraic graphs like maths do, to my knowledge at least. I suspect there is use of the “clean” functions in higher level chemistry but I also suspect that they are idealized and won’t often be found in the lab

  • @lacimoore2618
    @lacimoore2618 4 года назад

    CONGRATS ON 1 MILLION!!!

  • @michaelchung1825
    @michaelchung1825 4 года назад +1

    Congrats on getting 1 mil subs! :D

  • @jbtur
    @jbtur 4 года назад +1

    You got 1 million subscribers eddie! WOO! :)

  • @harish6787
    @harish6787 4 года назад

    Sir even if the views goes down u are still working hard sir hats off sir❤️❤️❤️❤️❤️❤️

  • @gayaquinn7177
    @gayaquinn7177 4 года назад +2

    I'm here after seeing mr. Woo's video in Ted ex nd I'm just inspired by him to learn mathematics coz I was a lazy student in high school but not anymore.

    • @harish6787
      @harish6787 4 года назад +1

      Superb my friend welcome

  • @elijahtommy777
    @elijahtommy777 4 года назад

    Hey I love your videos, they're super helpful. You should come teach in the blue mountains some time 😂

  • @Decertator
    @Decertator 4 года назад

    1 Million is almost here

  • @55_manisha_it40
    @55_manisha_it40 4 года назад +1

    sir ,sorry to say i thought by mistake you have done an error .at last row you have mentioned dy/dx >0 is decreasing but it should be dy/dx

    • @saptakbanerjee9712
      @saptakbanerjee9712 4 года назад

      Yes. You are right about that.
      But look carefully, both of the first and third row dy/dx>0. First one is correct. Third one would be a type error I guess, ">" symbol been touched at the place of "

  • @evan.z974
    @evan.z974 4 года назад +1

    I like this :)

  • @kenk4191
    @kenk4191 4 года назад

    What device and digital platform do you use?

    • @BrianAmedee
      @BrianAmedee 4 года назад

      It looks like GoodNotes on the Mac. If you have a Windows computer, OneNote does the same thing

    • @kenk4191
      @kenk4191 4 года назад

      @@BrianAmedee thank you

  • @justinmay2295
    @justinmay2295 4 года назад

    Eddie woo woo!!

  • @noreldenzenky1527
    @noreldenzenky1527 4 года назад

    Perfect

  • @qobilruzmatov48
    @qobilruzmatov48 4 года назад

    Nice good

  • @bassboostey9424
    @bassboostey9424 4 года назад

    Interesting

  • @amantamrakar5634
    @amantamrakar5634 4 года назад

    Justice for पिंकु कुमार

  • @KattamuriKowshiq
    @KattamuriKowshiq 4 года назад

    In India we study all these at an age of 14

    • @pragati9821
      @pragati9821 4 года назад +1

      I think u want to say 16 because 14 year is in 9th or 10th standard and he is also a highschool teacher

    • @harish6787
      @harish6787 4 года назад

      @@pragati9821 yes

    • @godson200
      @godson200 4 года назад

      Yeah we do study this at the age of 16.. But I did study this at the age of 12.. From khan academy