Derivatives of Logarithmic Functions - More Examples

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  • Опубліковано 10 лис 2024

КОМЕНТАРІ • 313

  • @GUITARxxLEGEND
    @GUITARxxLEGEND 9 років тому +75

    My Calc 1 prof gets paid over $120,000 a year, my calc 2 prof gets $130,000+. I really hope you make more than that because i've learned jack shit from those two, and you've taught me everything math since grade 11

    • @patrickjmt
      @patrickjmt  9 років тому +27

      how do you know they make that much? and if they do, they are being paid to research, not teach. welcome to high end universities in the usa!

    • @GUITARxxLEGEND
      @GUITARxxLEGEND 9 років тому +4

      patrickJMT I actually go to university in Canada and the universities are supposed to disclose this sort of information apparently. Regardless, it's still a shame that their main job is not in fact to teach the future generation (which is what i pay thousands for :P)

    • @patrickjmt
      @patrickjmt  9 років тому +13

      GUITARxxLEGEND i agree with you 100% but at the same time, research is important. however, if they don't want to teach or can't teach well, get someone who can.

  • @sandytraan
    @sandytraan 9 років тому +36

    you've taught me everything i know about precalc and calc over the past two years i appreciate you so much

    • @Mahmood367
      @Mahmood367 9 років тому +2

      +Sandy Tran sandy you can have y number i will appreciate that too

    • @chinomunoz2668
      @chinomunoz2668 9 років тому +1

      +Mahmood Emad Smooth man.

    • @Mahmood367
      @Mahmood367 9 років тому

      Chino Muñoz is that a good thing

    • @chinomunoz2668
      @chinomunoz2668 9 років тому +1

      Mahmood Emad it is

    • @Mahmood367
      @Mahmood367 9 років тому

      Chino Muñoz thx

  • @keithenaficionadobrown4853
    @keithenaficionadobrown4853 10 років тому +45

    you forgot the g prime of x in your last generic example

  • @patrickjmt
    @patrickjmt  13 років тому

    @BigMackes happy to help. hope you are feeling better

  • @patrickjmt
    @patrickjmt  13 років тому +1

    @Themedjai2 my pleasure, glad you like them

  • @TheoryGL
    @TheoryGL 13 років тому +1

    Incredible, I just searched for differentiation of logatithmic functions and I found this incredible video and it put me back on the right track for my homework. Great video!
    Thanks Patrick!

  • @Deronoth
    @Deronoth 15 років тому

    He's like a free replayable tutor that I can listen to any time of day... awesome

  • @HeyWheresKel
    @HeyWheresKel 15 років тому

    I like how you went in there with annotations to correct your error. And I gotta say, your video is extremely helpful! It teaches me and reinforces the stuff that whizzed by my head in class!

  • @ChrisAmarillas03
    @ChrisAmarillas03 14 років тому

    thank you for your video.....i lost my notes that we did in class and was completely clueless on how to do this....thanx for the help...you are a life saver

  • @GeovaniLuna
    @GeovaniLuna 15 років тому

    man, What would this world be without you?
    a million thanks.

  • @patrickjmt
    @patrickjmt  16 років тому

    so happy to help!

  • @patrickjmt
    @patrickjmt  16 років тому

    happy to help - good luck on the real exam

  • @Druhue
    @Druhue 14 років тому

    Great information here. My professor flies through lecture and the book was extremely convoluted. This was concise and straight to the point. Nice work!

  • @herbcruz4697
    @herbcruz4697 8 років тому +35

    You had an error, when computing the derivative of log base a of g(x). You forgot to multiply by g'(x).

    • @anodaone6525
      @anodaone6525 8 років тому

      +Herbert Cruz i noticed that too

    • @Anonymous-rh5qy
      @Anonymous-rh5qy 8 років тому

      +Herbert Cruz he's done that before in a diff video

    • @Firzahdaniyal
      @Firzahdaniyal 8 років тому +3

      He apologize for that through popup

    • @HughMongousPC
      @HughMongousPC 7 років тому +1

      I saw that and was like really an error in the first min...

    • @thewatcherlollol
      @thewatcherlollol 6 років тому +5

      @@HughMongousPC shut up

  • @MrTwoEyebrows
    @MrTwoEyebrows 12 років тому +1

    Watching these videos after learning the lesson in class really helps me grasp these concepts, thanks you Patrick for these videos :D

  • @mcchickinisgood
    @mcchickinisgood 12 років тому

    you're like bob ross for the math world. everything you say is clear, concise and happy. "were gonna take our little quotient rule here, and were gonna apply it to our function. and now we have a nice pretty logarithmic derivative"

  • @THEofficialDJCPS
    @THEofficialDJCPS 12 років тому +1

    i like how you do all your videos in sharpie, like you know you aren't gonna mess up.

  • @hviana7
    @hviana7 14 років тому

    Patrick, you have been my savior in Calculus I and II. Thank you so much for posting these videos :)

  • @mr.stranger3417
    @mr.stranger3417 6 місяців тому +1

    After so many years this video is helpful ❤

  • @2xiong
    @2xiong 14 років тому

    Hi Patrick. I've subscribed to your channel and I've watched the first 16 videos on Calculus and you just made my life that much better!!!
    You Are Awesome!!!!!

  • @patrickjmt
    @patrickjmt  14 років тому

    @mikelamid glad you like them

  • @jenna-m
    @jenna-m 16 років тому

    honestly this and the easy way to remember the unit circle video saved me hours of memmorizing. Plus your other videos were a great re-fresher for my final today. Thanks!!

  • @BigMackes
    @BigMackes 13 років тому

    very helpful, i missed a week of school from being sick and you caught me up in 10 min, thanks bro

  • @jstroner
    @jstroner 7 років тому

    Just want to say you are brilliant!! I watch countless hours of your videos. We all appreciate your work greatly!!!

  • @patrickjmt
    @patrickjmt  16 років тому

    good luck on your exam!

  • @patrickjmt
    @patrickjmt  15 років тому

    glad you like the videos.
    i try to make them semi-useful, so it is nice when people let me know that they are : )

  • @MisterTappi
    @MisterTappi 13 років тому

    Nice video.A great refresher.Not sure why people would dislike this video.

  • @XenokaYui
    @XenokaYui 12 років тому

    I would give you all of my plain white paper just so you can continue being this awesome at teaching. Thank you so much!

  • @gelajuju
    @gelajuju 7 років тому

    I was really having a hard time in my precal and i asked my seniors how can they help me and they mentioned you. Thank youuuuu

  • @patrickjmt
    @patrickjmt  12 років тому

    @Garlannd glad i could help :)

  • @Otic1913
    @Otic1913 16 років тому

    hey man, I really have to thank you for showing the Derivative of Log. Everthing that you explained here, is all in my practice
    exam. Thank you again. peace out

  • @galachoxy
    @galachoxy 14 років тому

    thanks alot from timor-leste,,,ur a great techer i ever seen,,
    its very enjoyable to learn math with u,,thanks alot,,,,,,

  • @haseeb7882
    @haseeb7882 16 років тому

    thank you patrick, your a good guy for putting up this video i have a test tommorow!!!

  • @VNuristani
    @VNuristani 11 років тому

    You are the best tutor. I appreciate your videos. Thank You.

  • @patrickjmt
    @patrickjmt  14 років тому

    @hviana7 you are very welcome : ) go forth and spread the gospel about them!

  • @Jootube82
    @Jootube82 14 років тому

    Math 110 midterm tomorrow... thanks a bunch!

  • @patrickjmt
    @patrickjmt  15 років тому

    thanks for the truly worthwhile comment

  • @patrickjmt
    @patrickjmt  16 років тому

    no problem hurdles!

  • @SIFYWAY
    @SIFYWAY 14 років тому

    hey thanks a lot my confidence in practise seems to be on a roll thanks again

  • @patrickjmt
    @patrickjmt  16 років тому +1

    hope the test went well : )

  • @mpfunder02
    @mpfunder02 11 років тому

    Thank you so so much for these videos!! You do a great job explaining processes well and clearly. I was having lots of trouble with derivatives after learning the quotient rule, but now I know a lot more! Thank you

  • @5512048
    @5512048 13 років тому

    patrickJMT thanks alot iam from baghdad univercity and you just help to pass in final calculus exam

  • @cutekurdish5388
    @cutekurdish5388 9 років тому +35

    YOU ARE THE BEST !!! my calclulus hero

    • @patrickjmt
      @patrickjmt  9 років тому +3

      cute kurdish happy that i could help you ;)

    • @dexteretoy
      @dexteretoy 9 років тому +1

      +patrickJMT man you've always helped us, not only us but thousands of students out there.

    • @EMan-ls6yt
      @EMan-ls6yt 8 років тому

      +patrickJMT how would you do this problem logSquarerute 1+x/1-x and ln squarerute x(1-x)

  • @patrickjmt
    @patrickjmt  16 років тому

    yes, i usually try to simplify it all down! looks like i forgot that one

  • @epiphi
    @epiphi 12 років тому

    In that last problem, basic logarithm rules would allow you to simplify the numerator greatly by making the natural log bit into ln(2), since you can rewrite that subtraction as a quotient within the same log, and the x will cancel.

  • @Garlannd
    @Garlannd 12 років тому

    Thanks PatrickJMT. This is good review for my final.

  • @EatShanklish
    @EatShanklish 14 років тому

    Thank you Patrick, I owe you and Salman Khan my A- in my Calculus course. Thank you guys for being so great and asking nothing in return.

  • @onesmusjatileni8387
    @onesmusjatileni8387 3 роки тому +1

    Hi.. May you please help me out with this question?
    Question B1
    Determine a ∈ R − {0} such that the function
    P(x) = 2ax3 − 3ax2 − 3x + 7a
    (1) has two extremal points,
    (2) and in this case establish whether maxima or minima;
    (3) has no extremal points.

  • @Sahilneqi
    @Sahilneqi 4 роки тому

    OMG your explanation is much better than my teacher... Thank you so much bro✌️

  • @nickt2575
    @nickt2575 9 років тому +1

    Thank you so much! Good review before jumping into grade 6.

  • @KillaTequilla83
    @KillaTequilla83 15 років тому

    omg thanks again dude, you're a godsend i swear

  • @isaacweber2431
    @isaacweber2431 6 років тому +1

    thank you so much. definitely a better teacher than my calculus professor lol

  • @davidramos-rivera3136
    @davidramos-rivera3136 8 років тому

    Thank you so much. I'm glad you continued the last problem, it really helped me out with applying it to other problems.

    • @hassanulger7167
      @hassanulger7167 8 років тому

      hey i dont know if you will be able tp reply back but i hope you will the problem is when i check other videos they include "ln" in the sum do you know why its confusing also whenever i try to solve other examples they also include the ''ln'' do you know why thats is so?? or should i just finish this kind of problems with the way patrick teach us? also this is the full answer right? a reply will save a life:)

  • @Goukuhou
    @Goukuhou 13 років тому

    lol, i was about to buy a calculus book. thank you, you saved me $50 with your videos and great site >:)

  • @Themedjai2
    @Themedjai2 13 років тому

    Patrick, your videos are brilliant! Thanks dude

  • @theLegeNdkillA95
    @theLegeNdkillA95 11 років тому

    I hope you never stop making videos and live forever, to help all the future generations, in maths, especially those doing goddam engineering haha

  • @patrickjmt
    @patrickjmt  15 років тому

    also, it always makes things better when you can rewind : )

  • @patrickjmt
    @patrickjmt  16 років тому

    my pleasure!
    now i have friends in peru!! : )

  • @seantopperharley
    @seantopperharley 12 років тому

    Thank you very much, clear and well explained. Truly an educator.

  • @patrickjmt
    @patrickjmt  16 років тому

    good luck on your exam my friend : )

  • @mansi45
    @mansi45 15 років тому

    Thank you a million, you're really nice for doing this for us. one more thing, you have a very nice voice.

  • @blackjak9194
    @blackjak9194 13 років тому

    Why can't real teachers be this good?

  • @emailaalice
    @emailaalice 13 років тому

    i've been studying for my business calc test tomorrow by watching your videos and i've began to develop a major crush on you! haha wish my luck!

  • @pankajraja6
    @pankajraja6 15 років тому

    thanks dear for videos,i m persuing b.tech.through correspondance so its help me a lot.

  • @Ghareeb1412
    @Ghareeb1412 14 років тому

    you are really my savior !
    thank you X100000000000000000

  • @FJ2022
    @FJ2022 11 років тому +1

    Loga^g(x) the derivative should be 1/g(x) ln(a) g'(x). The g'(x) on the numerator.

  • @SIFYWAY
    @SIFYWAY 14 років тому

    hey thanks a lot my confidence i practice
    seems to be on a roll thanks again

  • @cookiesrain
    @cookiesrain 10 років тому

    You're so awesome omg without your videos i wouldn't get this stuff that well mymath teacher is really bad so THANK YOOOOUUUU!

  • @martinezhmarcoa
    @martinezhmarcoa 13 років тому

    Dude! Thank u so much!! I have a test tomorrow. I owe u my grade and also thanks for uploading the helpful videos. I noticed u waste a lot of paper. For that i thank u lol

  • @fanfanchau
    @fanfanchau 13 років тому

    the answer in the last question hasn't been simpified yet.
    ln2x-lnx=ln2
    by the way,you are a very fantastic mathematics teacher and i wish you are my calc teacher rather than the one in my school right now....

  • @epiphi
    @epiphi 12 років тому

    When you take a derivative of something raised to a power, say ax^b, you get abx^(b-1), so in this case the power, b, was 1/3, and (1/3)-1=(-2/3). That's all.

  • @paulnelapati3890
    @paulnelapati3890 7 років тому +2

    make sure you turn on annotations because he corrects his mistakes

  • @IRandomBeastI
    @IRandomBeastI 13 років тому

    I wish I started watching these when the semester began...

  • @joanestom7482
    @joanestom7482 2 роки тому

    I love your videos bro, my prof even mentions your name in class.

    • @patrickjmt
      @patrickjmt  Місяць тому

      i know i missed this but thanks! :)

  • @patrickjmt
    @patrickjmt  16 років тому

    no problem!!! : )

  • @7erDave
    @7erDave 10 років тому

    This was VERY HELPFUL! Thank you!

  • @birdman1265
    @birdman1265 11 років тому

    #TeamJMT Your videos are amazing I got a B+ in calculus last semester from watching your videos I'm hoping to get an A this semester!

  • @OmarRawandi
    @OmarRawandi 12 років тому

    Greetings From Egypt ... Thanks a Lot

  • @mbekezeligoodenough369
    @mbekezeligoodenough369 8 років тому

    thnk uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu...... im writting maths test on tuesday.....

  • @abdifatahshibrahim90
    @abdifatahshibrahim90 7 років тому

    PatrickJMT Thanks for your explanation

  • @marilyn-wolf5605
    @marilyn-wolf5605 8 років тому

    My real Professor...

  • @Mustang5Speed
    @Mustang5Speed 14 років тому

    Great Teacher! Thank you sir.

  • @eileen02
    @eileen02 14 років тому

    Thank You Patrick, Amazing Teacher!
    Cheers!

  • @ouzairhafeez
    @ouzairhafeez 15 років тому

    its simple and easy to understand......so thumbs up from me.....

  • @outtrigger
    @outtrigger 11 років тому

    My textbook explains this horribly, thank you for explaining it so simply!

  • @jenna-m
    @jenna-m 16 років тому

    haha yes i think it went well. seriously THANK YOU!!!
    when i start calculas next week i will definitly be frequently checking out your videos on that :)

  • @emma31045
    @emma31045 11 років тому

    You are a genius! Thanks so much!!

  • @patrickjmt
    @patrickjmt  13 років тому

    @martinezhmarcoa well, usually it is all the same sheet that i keep below... : )

  • @philipduodu8867
    @philipduodu8867 9 років тому

    That was really helpful. Thanks.

  • @patrickjmt
    @patrickjmt  13 років тому

    @martinezhmarcoa i would not call this a waste...

  • @redsquarenine
    @redsquarenine 13 років тому

    @Aznmonkey Never mind, I'm pretty sure that was wrong and that you have to do the chain rule instead:
    [3(ln(1-x^2))^2] * [(1/(1-x^2))*(-2x)]

  • @miguelcoronado850
    @miguelcoronado850 9 років тому

    You're a beast tutor! Thanks a lot! 🙌🙌🙌

  • @shanerobertspilot
    @shanerobertspilot 14 років тому

    you sir, are a god... that is all

  • @aishabadawy8500
    @aishabadawy8500 8 років тому

    my real professor :D

  • @vedavarma5358
    @vedavarma5358 7 років тому

    A better way to do the last problem is to.convert the 1 in the denominator to "ln e" and then the denominator becomes "ln 2ex" and then u/v differentiation rule. :)

  • @payasitopimpim2002
    @payasitopimpim2002 16 років тому

    great ..excellent....my friend..thanks..from all of us..lima peru

  • @sniperfire95
    @sniperfire95 12 років тому

    You are my savior

  • @aasimpathan4155
    @aasimpathan4155 4 роки тому

    Thanks a lot...for making calculus damn easy....

  • @Mr.LaughingDuck
    @Mr.LaughingDuck 12 років тому

    @shinnagain
    Recall that tan = sin/cos
    The inverse of Tan is cotangent; that is, 1/tan
    So cot = 1/tan = cos/sin

  • @redsquarenine
    @redsquarenine 13 років тому

    @Aznmonkey I think you would just do the inside and then use the power rule on the outside to get:
    3[(1/(1-x^2))*(-2x)]^2
    Makes sense to me, I really hope I'm right considering my test is in a few hours!