Derivatives of Exponential Functions

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  • Опубликовано: 23 янв 2025

Комментарии • 583

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Год назад +21

    Derivatives - Free Formula Sheet: bit.ly/4dThzf1
    Derivatives - Video Lessons: www.video-tutor.net/derivatives.html

  • @hansonji9578
    @hansonji9578 4 года назад +485

    Currently doing online school rn due to the virus. Watching this while I am doing a test really helped. Thank you

    • @faith4365
      @faith4365 4 года назад +41

      Is that allowed 😏

    • @hansonji9578
      @hansonji9578 4 года назад +126

      Jonnell Grant everything is allowed until you are caught 😝

    • @faith4365
      @faith4365 4 года назад

      @@hansonji9578 lol

    • @azyle2104
      @azyle2104 4 года назад +51

      @@hansonji9578 it's a good idea , just not moralistic ... But for now , fuck morals and make the best of the situation you are in 😂

    • @azyle2104
      @azyle2104 4 года назад +11

      Just don't be a cheat when we exit the online learning system 😅

  • @dragooncavalier1354
    @dragooncavalier1354 Год назад +39

    I first discovered this channel when I was in 8th grade, now I'm a freshmen in college and I learned more from you than any of my past teachers/professors.

    • @thepuffinlord
      @thepuffinlord Год назад +1

      Same, bro. Same.

    • @yasminaamro2543
      @yasminaamro2543 6 месяцев назад

      i found it in grade 7 and im goint to college next year so ,same

  • @pmeiqi3110
    @pmeiqi3110 3 года назад +3025

    Can't believe we're paying thousands for college just to come back onto youtube for help

    • @christopherlafiura5935
      @christopherlafiura5935 3 года назад +174

      says a lot about the system of education as a prerequisite for monetary success

    • @22burst2020ddsspec
      @22burst2020ddsspec 3 года назад +78

      If you're at college much more for the learning than the paper & social experience then you need to rethink your life

    • @afrozmengal8737
      @afrozmengal8737 3 года назад +6

      Really

    • @applepie9806
      @applepie9806 3 года назад +34

      @@22burst2020ddsspec I agree sadly. I realised that too late. Should've just done some extra studies on the side while getting that toilet paper

    • @basemerachristine1316
      @basemerachristine1316 3 года назад +4

      Nothing is sufficient

  • @AvivMakesRobots
    @AvivMakesRobots 5 лет назад +162

    In just over 12 minutes, a wealth of knowledge... thank you.

  • @zulyc8641
    @zulyc8641 5 лет назад +462

    It’s so simple when you explain it. Thank you so much!

    • @TheOrganicChemistryTutor
      @TheOrganicChemistryTutor  5 лет назад +183

      You're very welcome

    • @SuesueThaw
      @SuesueThaw Год назад +10

      @@TheOrganicChemistryTutor re(you) very welcome(very)

    • @dunemae
      @dunemae 10 месяцев назад

      @@SuesueThawlol

    • @luvluocha
      @luvluocha 7 месяцев назад

      ​@@TheOrganicChemistryTutor icb he used to reply b4 😂

  • @marksw5499
    @marksw5499 5 лет назад +1059

    Khan academy is good, but this is better at explaining higher math and the hard sciences. Great lectures and I hope you keep it up and eventually expand into teaching other STEM subjects such as algorithms and computing, and maybe more biochem lectures. Thanks again!!

    • @dareal2669
      @dareal2669 5 лет назад +26

      You can just stfu and appreciate all both LMAO

    • @primekrunkergamer188
      @primekrunkergamer188 5 лет назад +40

      they both are very good. Why do u feel the need to compare?

    • @dareal2669
      @dareal2669 5 лет назад +14

      @@ChemistForHire that's just rude both offer free lectures and y'all ungrateful ass trying say sus shit

    • @francisgregoryku1689
      @francisgregoryku1689 4 года назад +48

      Don't share the same opinion but why all the hate? It's ok for someone to have an opinion.

    • @templeknight9338
      @templeknight9338 4 года назад +15

      Khan is great, but he makes mistakes a lot in his calculus lessons and it confuses me

  • @joat2185
    @joat2185 2 года назад +13

    taking calculus online and watch like 2 hours of videos and don't get the things because they don't explain everything and asking questions is extremely difficult. come to RUclips and get a way deeper understanding in the first 3 minutes of a 12 minute video. thank you for saying its this way in this scenario because of this. In this way its like this this is why. I shouldn't need to watch your videos but I'm glad I can support someone that does something as well as you.

  • @desideriolonzaga861
    @desideriolonzaga861 3 года назад +6

    This is my dad's account. Salute to you sir. Praise God!

  • @misscam2005
    @misscam2005 5 лет назад +122

    bruh this is the third time im getting taught derivatives i still dont get it but u are the one person whos explained it to me in a way that i understand. my math prof is quaking.

  • @suethe4e
    @suethe4e 4 года назад +29

    I've learnt more from this video than from an hour-long math lecture. Thanks!

  • @soignekyle
    @soignekyle 4 года назад +14

    I can't even begin to express my gratitude for this channel.

  • @sarahhanson5864
    @sarahhanson5864 2 года назад +16

    I've been really struggling with derivatives in my calculus class for months, but I watched 3/4 of this video, and something clicked, I guess, because, all of the sudden, I'm actually really great at them. I don't know what to say; I think this guy's magic...

  • @MelisaValenzuela-Amaya
    @MelisaValenzuela-Amaya Год назад +11

    Your videos have literally been getting me through my calculus class. I appreciate how you elaborate each step in the simplest manner. Thank you!

  • @dennisly8533
    @dennisly8533 5 лет назад +20

    I’m not gonna be that guy roasting their teacher out here... but I really like your way of explaining things and the different perspectives from online videos and my teacher, really make learning this stuff easier.

  • @pz9907
    @pz9907 5 лет назад +521

    This>going to class for an hour

    • @kettleghost3721
      @kettleghost3721 5 лет назад +2

      Yes

    • @amantekle127
      @amantekle127 5 лет назад +2

      Much better than attending some classes or lectures!

    • @laser679
      @laser679 5 лет назад +1

      FACTS

    • @JonGamer16
      @JonGamer16 4 года назад +1

      you'd think a professor with an accent could teach you better oof

    • @diamonx.661
      @diamonx.661 4 года назад

      hell yeah

  • @GoofedUp45
    @GoofedUp45 3 года назад +2

    Bro, I literally could not be getting thru calculus without you right now. Thank you so much.

  • @Felalinn
    @Felalinn 3 года назад +3

    Great teacher! He explains it in a soothing voice and his instructions is easy to follow.

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    @abileniorozco8443 4 года назад +5

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  • @a.j.4644
    @a.j.4644 3 года назад +7

    I want to thank you for doing so many actual problems to put the definitions and explanations into action. I don't understand until I have cranked through problems. Would love if you made some videos for higher level math and stats courses. Definitely not enough (good, easy to understand) YT videos about Moment Generating Functions, Method of Moments, and estimator characteristics beyond Unbiasedness (like efficiency, sufficiency).
    I've been using your videos for two years. TY so much for all the work. I watch the ads, like, etc, so that YT hopefully pays you more for your good work!

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    @Cado909 4 месяца назад +1

    this dude carries me through calculus THANK YOUUU

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    @seasonsoflove9507 Год назад +1

    I’m so amazed by how he manages to literally clear everything up within 1 minute into a video.

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    @lorenzofalorni3961 3 года назад +16

    Just 3 minutes of this video is better than 10 hours of university classes

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    @ernestdude4074 4 года назад

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    @Asahel717 6 лет назад +3

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    @vasilzhiliev6057 10 месяцев назад +2

    I'm laying in my bed on my phone here pausing the video and saying the solutions out loud before you ppst them, slouching and studying. I fucking love this guy and the modern world we live in🎉

  • @husseinasrasalah7348
    @husseinasrasalah7348 4 года назад

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  • @georgesadler7830
    @georgesadler7830 2 года назад +1

    MR. Organic Chemistry Tutor, thank you for an outstanding video/lecture on the Derivatives of Exponential Functions in Calculus II. This is an error free video/lecture on RUclips TV with the Organic Chemistry Tutor.

  • @Syntaxxed
    @Syntaxxed 9 месяцев назад +1

    can't believe i understood all of that. Looking back 3 years ago when I was a novice in math this would've looked like nonsense to me lol. As always, thanks for your service.

  • @zacharymcarthur9013
    @zacharymcarthur9013 4 года назад +10

    The last derivative is more difficult than it needs to be. At 9:40 it should be that ((e^x-e^-x)^2 - (e^x+e^-x)^2)/(e^x-e^-x)2 = 1-((e^x+e^-x)^2)/(e^x-e^-x)^2 This simplifies to -[4e^2x/(e^2x-1)^2]

  • @unbelievableman3827
    @unbelievableman3827 Год назад

    Your are the best teacher i've ever seen in my entire life, keep up the good work doc :)

  • @J.Osman2003
    @J.Osman2003 3 года назад +22

    I recommend when getting dy/dx for a fraction use this rule, it's easier to memorize, ((Dn'-Nd'÷D^2)) . Which directly tells you what to use as "D" stands for denominator and "N" stands for nominator .

  • @naeeemtanoli3287
    @naeeemtanoli3287 6 лет назад +52

    Superb. In short time I learn a lot.

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    @ceciliaw1065 3 года назад +2

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    @sadatsultan 11 месяцев назад

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    @mannmani2721 6 лет назад +30

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    @salamiolayemi8983 Год назад

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    @joonslilplants2665 Год назад

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    @muhammadtaufiqbinfaizal4440 4 года назад +1

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    @johaniopperman 8 месяцев назад

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    @JooIsVibing Год назад

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    @deborahgoldsarfo7486 2 года назад

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    @ptyptypty3 3 года назад +3

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    @corazonkkk Год назад

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    @thomasbreedlove377 3 года назад +14

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    @andiswamanqele794 10 месяцев назад

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  • @aminapatel
    @aminapatel 9 месяцев назад

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  • @sadatsultan
    @sadatsultan 9 месяцев назад +2

    so at 8:47 cant we just cancel out the like terms (e^x - e^-x)^2 from the numerator and denominator?

  • @lindseysmith7787
    @lindseysmith7787 5 лет назад +1

    Thank you for this video, I feel a lot more confident with derivatives of exponential functions and I have a quiz in an hour!!

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    @musondakalyoti4051 4 года назад +1

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    @mariellehobson7832 4 года назад +3

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    @prakashpaudel1074 Год назад

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    @melissamangena6066 5 лет назад

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    @chief4180 2 года назад

    The Organic Chemistry Tutor is the best Maths Tutor

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    @ethans6539 3 года назад +15

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    @anandsharma5178 5 лет назад +2

    Superb.... I was wondering here and there for the last question, thankfully i found out in your video... Thanks a lot

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    @eddieoros6584 3 года назад

    bruh literally figured it out less than 2 min into the video. Thank you.

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    @zaidsyed8501 4 года назад +1

    This video was so helpful bro, thank you so much. I seriously thought this test that's coming up was going to be the end of me!

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    @vitoriasteimetz4957 4 года назад +2

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    @newyorkguy158 5 лет назад

    using your videos for review and this one like your others is crystal clear. thanks

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    @ShadoMpambe 5 месяцев назад

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    Give back to this man for all he’s done for you and throw some money at his Patreon

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    @onnibools 2 месяца назад

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    @hazrlkicerik3207 3 года назад +1

    Your explanations are awesome. Thank you for your effort.

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    @VishnusNair-yq5xe Год назад

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    @applepie9806 3 года назад

    thanks for making this video, I really needed a refresher for the neural network course I'm taking

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    @trillb0t 4 года назад +1

    Thank you so much dude. You really helped out this student (me :O) understand concepts that are really hard to even begin to read about since I have bad ADHD.

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    @levitate2030 2 года назад

    This video was very helpful, I still learning to write out the exponential and other derivative expressions properly.

  • @perlitaradaza2454
    @perlitaradaza2454 5 лет назад

    I've been excused from my classes for months because of contests and just got back to normal class and i have a summative in calc tomorrow so i have to cram study the derivatives topic and yours is very helpful!!! Thank you so much, I hope I could get thru then testtt hehu♥

  • @burntpoptarts7477
    @burntpoptarts7477 2 года назад +2

    Go to 2:06 if you're trying to find the derivative where the base is not e

  • @JamesBrodski
    @JamesBrodski 4 года назад +1

    What a helpful video! Thank you so very much for making it. I understand it wonderfully.

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    @mrsamurai7508 Год назад

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    @waipancholwaingor 2 года назад

    This guy is helping a lot

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    @IsaacRobertoCordova 3 месяца назад +1

    Thank you so much! 🙏🏻

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    @BagfjdZ Год назад

    كفو فهمت الدرس على طول ❤

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    @thux2828 3 года назад +1

    I'm impressed by your writing speed! Or did you speed it up and fun dub over it? Great video regardless.

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    @asvard4045 5 лет назад

    im from Malaysia...u re very helping bro🙏🙏

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    @hadiababy446 2 года назад

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  • @caterinatutino181
    @caterinatutino181 2 года назад +1

    AT 5:43 why is there no more Ln function included in it??

    • @endasis935
      @endasis935 2 месяца назад

      the derivative of ln e =1

  • @likandoeddy3042
    @likandoeddy3042 Год назад

    thank you so much dude, you're a life saver 😇😇

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  • @dong-wooklee
    @dong-wooklee 3 года назад

    Shortcut for derivative of a function of type: f(x) raised to g(x)
    Let f(x) be f
    Let g(x) be g
    Let derivative of f(x) be f'
    Let derivative of g(x) be g'
    d/dx(f^g)=(f^g)(f'(g/f)+g' log(f))
    For those who couldn't understand what's written above, It reads as:
    derivative of f raised to power g is equal to f raised to power g times (derivative of f times g by f + derivative of g into log(f))

  • @gifarazikriani2658
    @gifarazikriani2658 2 года назад

    Thanks sir, your vid very helpful to solve my math problem today!

  • @shahang2002
    @shahang2002 2 года назад

    ‏Thank you very much. I've benefited a lot.

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    @alwishusher3102 3 года назад

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    @jossy2714 5 лет назад

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