DIFFERENTIATING LOGARITHMIC FUNCTIONS

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  • Опубліковано 14 жов 2022
  • In this video, I solved a sample problem requiring logarithmic simplification before other rules of differentiation can be applied

КОМЕНТАРІ • 106

  • @user-sz2px3yb7j
    @user-sz2px3yb7j 2 місяці тому +14

    Sir just saved my maths career

  • @hargovindmirchandani6559
    @hargovindmirchandani6559 Рік тому +34

    Very good explanation of every step!
    Better than my Calculus professor taught me in my college.
    Today I am 82 years old & learning!
    So never stop learning folks!

  • @EE-Spectrum
    @EE-Spectrum Рік тому +9

    I just love the way a complicated quotient function was so simplified for the differentiation to be done easily. Kudos for all this. 👏

  • @alexrasetelo6646
    @alexrasetelo6646 Рік тому +11

    The real Newton ❤ of our time

  • @adammohamed5256
    @adammohamed5256 Рік тому +4

    A nice mathematician giving a proper explanations. Love from KSA

  • @omendrasingh8232
    @omendrasingh8232 3 місяці тому +4

    Found your videos on differentiation for tomorrow's test and these helped me a lot, all of my concepts were cleared which weren't from a few years even after learning them from different places even from many other UA-cam channels. even though I was very nervous starting today but your positive and fun attitude in teaching and your dialogues helped me feel relaxed while learning, LOVE FROM INDIA❤

  • @jennymarx9228
    @jennymarx9228 5 місяців тому +2

    This makes differential easier and my understanding over it more clearerd

  • @Shooting-Starr
    @Shooting-Starr 2 місяці тому +2

    The simplicity though!😊Awesome!

  • @jan-willemreens9010
    @jan-willemreens9010 Рік тому +3

    ...A good day to you Newton, And to think that this method of differentiating monstrous out of this world-looking functions was developed because of the fact that mathematicians in general are a bit lazy (lol); maybe we all need to get a little lazier, resulting in a less complicated and more peaceful conflict-free world around us. Your pleasant and easily digestible presentation was the starter of my dinner, thank you for this Newton, a very good job... Take good care, Jan-W p.s. Also nice to see that the logarithmic rules are all connected to each other (at least for me), resulting in less learning!

  • @ChristnaHOSANEE
    @ChristnaHOSANEE 2 місяці тому +3

    I am 66 years old but would have dreamed to be 20yrs old. So fascinating❤

  • @xjype
    @xjype Рік тому +6

    Math is just so beautiful. Thank you for your content

  • @mlgamer5547
    @mlgamer5547 2 місяці тому +4

    This video will help me pass the exam for sure. Thank you sir and before this, I actually used to do it the long way of applying the quotient rule and messing things up. But now I've got the shorter and easier way. Once again thank you sir

  • @siyenete1834
    @siyenete1834 Рік тому +5

    YOU INSPIRE ME SIR AND YOU HEAL ME MATHEMATICALLY🙌

  • @stanleypes1409
    @stanleypes1409 2 місяці тому +2

    Man your explanation is absolutely understandable. I was given a similar question in my assignment and I find it really hard to solve it but after I watched your video I can now be able to do my assignment but not only that, I can also do other questions in relation to differentiating Natural logarithm function....
    Man thank you so much and may God bless you 🙏

  • @akramhasan
    @akramhasan Місяць тому

    You are best teacher in differentiation

  • @punditgi
    @punditgi Рік тому +4

    I always learn a lot from these videos! Well done, sir! And with a great smile! 😁

  • @SystemsProjectEngineer
    @SystemsProjectEngineer Рік тому +2

    Very clear writing and clear explanations. Will look for more log content.

  • @aIlIlIl
    @aIlIlIl Рік тому +1

    Ive learnt how to differentiate a complicated function in 11 minutes
    as compared to hours of sitting in class , confused~
    thankyouso much :)

  • @harmonyofficial1937
    @harmonyofficial1937 Рік тому +1

    thank you the way you explain these things make them simpler

  • @samurai7474
    @samurai7474 9 місяців тому +1

    Much cleaner explanation than another video of similar problem.

  • @saarike
    @saarike 4 місяці тому

    Simply wonderful!!! It looked so complicated, but you know what you are doing 😀. This was great.

  • @gradyswan7371
    @gradyswan7371 9 місяців тому +2

    This is better than my Maths Professor
    Someone make him a professor

  • @franticzenster8140
    @franticzenster8140 2 місяці тому +2

    This is awesome!

  • @AnathiKhwetshube-dt1pt
    @AnathiKhwetshube-dt1pt 3 місяці тому

    It just gotten to me easy , no need for revisions I just got it ❤. You teach clear.

  • @multifanheresostopfanwars3996
    @multifanheresostopfanwars3996 4 місяці тому

    Very clear and easy to be understood.

  • @mulengaeusters8948
    @mulengaeusters8948 Рік тому +1

    this vidoes has really helped me alot . now i has knowledge about calculs

  • @ThatoBhengu
    @ThatoBhengu Місяць тому

    Yooo wish you had mechanics classes too this is such a pure explanation thamk you sir 🙏

  • @victornzioka8829
    @victornzioka8829 Рік тому +1

    Purely Amazing sir.

  • @IMMANUELJOHANNES-zm9sg
    @IMMANUELJOHANNES-zm9sg 11 місяців тому +2

    Your marvelous 👊🏾

  • @ranblake3165
    @ranblake3165 Рік тому +2

    Fantastic ,well sequenced here audio is perfect !

  • @MpenduloNsibande-nr1vh
    @MpenduloNsibande-nr1vh 3 місяці тому

    from today you are my teacher

  • @murdock5537
    @murdock5537 7 місяців тому

    Simply great, many thanks, Sir! Very elegant. dy/dx = cot⁡(3x) + 2(x^2 + 5)/x(2x^2 + 5)

  • @benriakchangdar4963
    @benriakchangdar4963 6 місяців тому

    wow. so amazing derivative

  • @user-uc4vn4wf7f
    @user-uc4vn4wf7f 4 місяці тому

    You actually know mathematics you are marvellous

  • @fidellibune2665
    @fidellibune2665 Рік тому +1

    A great mathematician

  • @dragosgujuman6736
    @dragosgujuman6736 Рік тому +1

    Keep up the good work😀

  • @surendrakverma555
    @surendrakverma555 4 місяці тому

    Very good. Thanks Sir 🙏🙏🙏

  • @user-lv6ib9os3t
    @user-lv6ib9os3t 7 місяців тому +1

    This is marvellous

  • @sA-ox6br
    @sA-ox6br Рік тому +1

    For some reason you make me happy, thank you ❤

  • @user-jn7sz5zu9c
    @user-jn7sz5zu9c Рік тому +2

    made it so simple

  • @veeramanisubramanian9296
    @veeramanisubramanian9296 4 місяці тому

    Nice explanation 🙏

  • @user-ov3zc7rs2y
    @user-ov3zc7rs2y 3 місяці тому +1

    Clean brother

  • @ezu8501
    @ezu8501 Рік тому +1

    broooooooo thank you so much this is awesome !

  • @wozakxng
    @wozakxng 2 місяці тому

    made my life so much easier, dankooo!

  • @betruckouma5192
    @betruckouma5192 2 місяці тому

    This is really helpful

  • @Amariahcollections
    @Amariahcollections 2 місяці тому

    Super cool i love this

  • @danielopoku5587
    @danielopoku5587 Рік тому +1

    Really helped me!

  • @Abdulrahmonbolaji-jw5ik
    @Abdulrahmonbolaji-jw5ik 4 місяці тому

    Una be agbatophyter u too brilliant 🤲🤲

  • @user-cl5sn1gg6i
    @user-cl5sn1gg6i Рік тому +1

    Awesome

  • @darcash1738
    @darcash1738 7 місяців тому +1

    I did it with log properties first and then I tried it the brute force method and it really but my algebra to the test. In the end I was able to get the same result tho 😮‍💨

  • @azm1851
    @azm1851 Рік тому +1

    great.

  • @BetshibahSaa
    @BetshibahSaa 2 місяці тому

    Very helpful

  • @jonathansimukoko466
    @jonathansimukoko466 Рік тому +3

    Wont stop learning with yh around lol

    • @ibrahimfayiah
      @ibrahimfayiah Рік тому +1

      Super great!! Thank you very much Sir.

  • @FransChichava
    @FransChichava Місяць тому

    You're good sir🔥💯

  • @RelebohileMotloli
    @RelebohileMotloli Місяць тому +1

    Clean!!

  • @kennymalatji4583
    @kennymalatji4583 Рік тому +1

    Making maths look so easy❤

  • @jeremyvcuedu
    @jeremyvcuedu 4 місяці тому

    You’re awesome!

  • @sondrinacain8941
    @sondrinacain8941 9 місяців тому

    Thank you sm for this

  • @benedictnyarko8286
    @benedictnyarko8286 Рік тому

    I love this ❤❤❤

  • @neil8913
    @neil8913 9 місяців тому +1

    Sir please do implicit differentiation of logarithmic function. Like the implicit in higher derivative

  • @mirabechtolt559
    @mirabechtolt559 4 місяці тому

    lifesaver!

  • @user-pz5wy1es2k
    @user-pz5wy1es2k 11 місяців тому +1

    Wonderful 👏

  • @Chator07
    @Chator07 Рік тому +1

    this is so awesome

  • @PatrickChama-lx1vf
    @PatrickChama-lx1vf 3 місяці тому

    You're a legend

  • @CarltonEricJohnson
    @CarltonEricJohnson Рік тому +2

    you're a Genius Man 👍

  • @paiwastamir6933
    @paiwastamir6933 Рік тому +1

    thank you sir ❤

  • @thutopole3187
    @thutopole3187 Рік тому +1

    Nice❤

  • @labsiidirmachu
    @labsiidirmachu 8 місяців тому +1

    Thank you

  • @abel-pw3dk
    @abel-pw3dk 4 місяці тому

    I love it

  • @sihamissa6724
    @sihamissa6724 Рік тому +1

    thank you

  • @LethaboNape
    @LethaboNape 2 місяці тому

    " Never stop learning those who have stop learning have stop living"😅

  • @user-zp9zk6bi2y
    @user-zp9zk6bi2y Рік тому

    actually I love it

  • @Spectreprods
    @Spectreprods 6 місяців тому

    👏🏼👏🏼👏🏼👏🏼

  • @jan-willemreens9010
    @jan-willemreens9010 Рік тому +2

    ...Newton, I thought about your presentation for a while, and wonder if the title is correct: "Logarithmic Differentiation"? The function is not differentiated logarithmically, but only simplified first with the help of log rules before differentiating in the usual way, right? I see no implicit differentiation (d/dx(ln(y)) = d/dx(ln(...)))! I don't think this example in its given form is suitable for Logarithmic Differentiation! I would like to receive your comment on this. Nevertheless, your presentation remains very instructive... Jan-W

    • @PrimeNewtons
      @PrimeNewtons  Рік тому +1

      As usual, it's a pleasure reading your comments and observations. You are correct. To be truly logarithmic differentiation, natural log has to be introduced where there was none before. I just couldn't find a better and shorter title. My next video will be a monster requiring such strategy so the title would be appropriate.

    • @moeketsimofoka2734
      @moeketsimofoka2734 3 місяці тому

      This is differentiation of a log function not logarithmic differentiation

  • @icexyz8586
    @icexyz8586 8 місяців тому

    the goat

  • @WELBECKDONKOR-wp5fz
    @WELBECKDONKOR-wp5fz Місяць тому

    wow

  • @IM_edia1
    @IM_edia1 Рік тому +1

    Love this, man...just saved my nipple 😂

  • @montadrkazem7378
    @montadrkazem7378 Місяць тому

    Where did you get this question from?

  • @user-mh4hr9cv3s
    @user-mh4hr9cv3s 3 місяці тому

    Why am I seeing this now😭😭😭but i hope it's not too late

  • @Doobalins
    @Doobalins 2 місяці тому

    banger

  • @omphilelenoke5327
    @omphilelenoke5327 5 місяців тому

    shouldnt it be ln y = simplified ln function?

  • @anestismoutafidis4575
    @anestismoutafidis4575 2 місяці тому

    => y'=ln[2x•1/2(x^1/2)•3sin(3)^2/3]
    y'=ln[2x/6(x^1/2)(sin(3)^2/3)]
    y'=ln[1x/3(x^1/2)•(sin(3)^2/3)]
    y'=3(x^1/2)•(sin(3)^2/3)
    y'=3(x^1/2)•0,1399 = y'=0,419(x^1/2)

  • @user-fc9xe9fu6e
    @user-fc9xe9fu6e 7 місяців тому +1

    ❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤😂

  • @marc8645
    @marc8645 8 місяців тому +2

    You are required to take the natural log of y too, if you are using logarithmic differentiation.

    • @mahinchawla8705
      @mahinchawla8705 7 місяців тому

      That is only if y is equal to a function not when y is equal to log of a function

  • @i.amKeke_
    @i.amKeke_ Рік тому +1

    🥺🥺🥺🥺🥺🥺🥺🥺🥺

  • @tinevimbonyoni
    @tinevimbonyoni 2 місяці тому

    you cooked

  • @ongeziwevaphi111
    @ongeziwevaphi111 3 місяці тому

    this helped me a lot #neverstoplearning

  • @ryannajames7687
    @ryannajames7687 9 місяців тому

    thank you

  • @user-fc9xe9fu6e
    @user-fc9xe9fu6e 7 місяців тому

    ❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤😂