❖ Derivatives of Logarithmic Functions ❖

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  • Опубліковано 28 вер 2024

КОМЕНТАРІ • 445

  • @jokerman9295
    @jokerman9295 8 років тому +322

    These 5 to 10 min videos teach me more than my teacher's 50 min lectures lol

    • @RungusTungus666
      @RungusTungus666 7 років тому +2

      TRUE

    • @danielle228512
      @danielle228512 5 років тому

      True that!!!

    • @singha2927
      @singha2927 5 років тому

      He​ should​ be​ a​ teach​e​r

    • @jasiahemilio7486
      @jasiahemilio7486 3 роки тому

      you all probably dont give a damn but does anybody know of a way to log back into an instagram account?
      I was stupid lost the login password. I appreciate any tips you can offer me

    • @mbalinhlapo9952
      @mbalinhlapo9952 2 роки тому

      Exactly

  • @jonnycrono8694
    @jonnycrono8694 7 років тому +45

    This dude is certainly among the very best ones I've seen over all internet when it comes to explaining in very effective, simple ways.

    • @patrickjmt
      @patrickjmt  7 років тому +14

      thanks from 'the dude'!

  • @northcarolinaname
    @northcarolinaname 10 років тому +96

    i dont freaking understand why college professors and TA's can't teach like this.... i mean seriously

    • @singha2927
      @singha2927 5 років тому

      Yeah​ that​ right​ they​ just​ write​ on​ paper but​ not​ explain​ equation.​

  • @imarmn4972
    @imarmn4972 7 років тому +1

    The person teaching makes such a difference on how you learn. I unfortunately have the teacher at school that has no time management and we are usually rushing so most of the time so class is lost and to busy copying the notes, but now that i have found you my good sir self teaching and all that junk should be easier with you. Thank You.

  • @AbodyRulez
    @AbodyRulez 12 років тому +1

    A special thanks goes to you man!
    You have just rescued a student in Egypt - Arab Academy for Science, Technology & Maritime Transport.
    Thanks again, Wish me luck with my Calculus1 exam tomorrow! :)

  • @sambolt7989
    @sambolt7989 8 років тому +4

    Your videos are some of the best I have found. Many out there are hard to understand but yours are straight to the point and very thorough in many types of questions. I'm basically using your videos as one of the main resources for my Calculus class. Thank you!

  • @zelikris
    @zelikris 11 років тому

    I was stuck on a problem for over 30 minutes and it took 20 seconds of watching your video for me to see the light. You're a savior!

  • @Tuanski
    @Tuanski 9 років тому +76

    You and Khan Academy saved my life

  • @aletheap8032
    @aletheap8032 8 років тому +2

    Who needs a math teacher when we have you. Honestly you are amazing👏🏼👏🏼👏🏼. Your videos are clear and easy to understand. Thank you soo much 💖💖

  • @dillonredd9682
    @dillonredd9682 10 років тому +19

    PatrickJMT is a true hero.

  • @SpeedyGarza
    @SpeedyGarza 9 років тому +1

    You have helped me so much through Pre-Calc. I don't know why but you explain a lot better than my math teacher. I'm taking AP Calc and I have the same teacher as I did before :'( THANK GOD I HAVE YOU! :DDD

  • @fire9132
    @fire9132 11 років тому +4

    Wow, using the properties of logarithms makes it so easy! I can't believe I didn't think of that and that my teacher didn't even mention it!!

  • @KarenHernandez-us5mt
    @KarenHernandez-us5mt 8 років тому +1

    Thank you for uploading this video, I have learn more from you in 9 minutes than what I learned in 1 hour with my profesor. I wish you best of luck in your career. I have already shared this video with my classmates.

  • @SuperBallerXD
    @SuperBallerXD 9 років тому +1

    This video taught me more then 3 weeks of lecturing. THANK YOU!!!!

  • @TennisTweener7777
    @TennisTweener7777 9 років тому +1

    you take the lessons that i have in class and explain them well, perfect enforcement and learning of ideas. you say it how it is

  • @1213JayStar
    @1213JayStar 10 років тому

    Perfect. All the valuable information right at the beginning and the explanations after. All I needed was the formulas. Taking Calc II after forgetting all the memorization from Calc I is not fun. Not to mention it's a summer course and it's the entire semester in 19 days.

  • @barkthedog
    @barkthedog 11 років тому +3

    That subtraction trick helped so much. Thanks.

  • @kotpx3
    @kotpx3 11 років тому +1

    Saved my life with the last example, I probably would of made that mistake on a test.

  • @laparotumba
    @laparotumba 8 років тому

    I would never have survived college without you man. You're better than most of my lecturers!!!

  • @Uiru11
    @Uiru11 6 років тому +1

    Very clearly explained, clear formulas and good examples. Beats reading the textbook, I can go straight to practice problems. Thank you sir.

    • @patrickjmt
      @patrickjmt  6 років тому

      my pleasure, come back any time!

    • @Uiru11
      @Uiru11 6 років тому

      patrickJMT I just might. Do you have another video on implicit differentiation?

  • @robertj4424
    @robertj4424 4 роки тому

    Good job! Attention: If you simplify first for the last problem, the answer has little bit different form: 2xln(1+e^x)/[(1+e^x)(ln4)^2]

  • @hockeymurph34
    @hockeymurph34 13 років тому +1

    Thank you! I'm in AP Calc, and I've never needed help with math before, but I got tutor this year because I got a C- first quarter. My teacher moves SO fast through the material, it's insane (in my opinion). I think all the kids around me have taken summer math classes or something because they rarely have questions. We're on chapter 5 now, but I just figured out chapter 4! WTF?! (I got another C- on the previous chapter's test.)
    Anyways, these videos have helped a lot.

  • @HikariSatou
    @HikariSatou 10 років тому

    Calc quiz in 2 hours, this made 100% more sense than my lecture AND the textbook.

  • @CarlosRomeroconnect
    @CarlosRomeroconnect 10 років тому

    Probably the easiest and fast tutorial for learning the derivatives of logarithmic functions.

  • @jessi5944
    @jessi5944 8 років тому

    Wow. Watching this makes it seem a hell of a lot more simpler than my professor was explaining it. I like how you use the word "stuff" to describe the numbers inside , lol. This is easier to understand, thank you so much.

  • @sevranararis7704
    @sevranararis7704 10 років тому

    My friend, you are a man among men. I'm going to pass calculus with the aid of your videos, thank you!

  • @vaishanavikundala8551
    @vaishanavikundala8551 10 років тому

    Getting a head start in calculus over the summer and i could probably learn a lot of it just by watching your videos.

    • @patrickjmt
      @patrickjmt  10 років тому +11

      yes, you probably could :)

  • @dhary32
    @dhary32 12 років тому

    good luck man!!!! i have one on tuesday and this guy really helped me allot in my math, if i feel dont feel someday going to class, i remember that i've got an awsome math teacher to see patrick you are IMBA!!!!!!!!

  • @phumudzomuvhango514
    @phumudzomuvhango514 8 років тому

    You're the greatest... It's people like you who are really making a difference in the world, STAY COOL

  • @TheMiddleEastern
    @TheMiddleEastern 8 років тому +56

    Have you considered teaching college level calc?!

    • @patrickjmt
      @patrickjmt  8 років тому +31

      I have taught it in the past (this past spring most recently)

    • @MrDNTROLL
      @MrDNTROLL 8 років тому +3

      lmao this topic is what we're currently on and I'm on my 2nd year in college

    • @anwarhasanin3120
      @anwarhasanin3120 8 років тому +8

      Stay Alive lol im in high school and we are on this topic rn (ap calc)

    • @blue2redstone71
      @blue2redstone71 8 років тому +3

      I am in 7th grade… But our school doesn't teach this um… this is easy.

    • @Sausage4580
      @Sausage4580 8 років тому +1

      same

  • @wiitubeaccount
    @wiitubeaccount 4 роки тому

    Dang I remember listening to this guy's math tutorials years ago. Now I'm in grad school and reviewing my maths so I can take graduate level economics and yet I come back here again lol. What a great teacher!

    • @patrickjmt
      @patrickjmt  4 роки тому +1

      congrats! you gonna be making the big bucks one day!

    • @wiitubeaccount
      @wiitubeaccount 4 роки тому

      @@patrickjmt haha that would be nice thanks!

  • @kalsoomasghar1344
    @kalsoomasghar1344 7 років тому

    you are such and amazing teacher. you are always so calm and sweet in your videos and don't rush things. Thank u.

  • @lebgang
    @lebgang 13 років тому

    @patrickJMT i love you man,,, u help me pass my TEST ALWAYs
    thanks alot , keep up the good work. people like you change the world.

  • @raibundarius
    @raibundarius 12 років тому

    This is my first time using one of your videos, but I'll be back since I need to pass Calc I. Great vid.

  • @Jovanny8Soccer
    @Jovanny8Soccer 12 років тому

    Patrick! man do you make finals less stressful!. Every time i want have troubles in calculus i go only to your videos, im recommending them to my friends and so far they like them as well.

  • @fireflame2145
    @fireflame2145 11 років тому +1

    These videos are life-savers, thank you patrick

  • @alep7358
    @alep7358 6 років тому

    Watching an hour of you're videos is like going to a month's worth of lectures

  • @patrickjmt
    @patrickjmt  13 років тому

    @AceAites thanks the kind words : )

  • @christinaalvarez8714
    @christinaalvarez8714 12 років тому

    This really helped me on one of my homework assignments that I was stuck on for what seems like forever. Patrick, you make this so much easier!! :-)

  • @mandisamkhize4475
    @mandisamkhize4475 9 років тому +19

    why aren't you my lecture? thanks a lot, its way more than I ever learn in class

    • @mandisamkhize4475
      @mandisamkhize4475 9 років тому

      Impact Magqagqa Reseviour Hills, Santa Cruz Res

    • @mandisamkhize4475
      @mandisamkhize4475 9 років тому

      Impact Magqagqa oh know that res a friend of mine stays there. nice to meet you Impact

    • @mandisamkhize4475
      @mandisamkhize4475 9 років тому

      Impact Magqagqa ja. good luck for the test

    • @mandisamkhize4475
      @mandisamkhize4475 9 років тому

      Impact Magqagqa i also hope that i make it through though

    • @mandisamkhize4475
      @mandisamkhize4475 9 років тому

      Impact Magqagqa ja on the 16th

  • @arzoofatimah6
    @arzoofatimah6 2 роки тому

    Well explained in a very professional manner EXCELLENT

  • @alexbroadbent8842
    @alexbroadbent8842 8 років тому +6

    THIS IS A BLESSING

  • @godofblu1080p
    @godofblu1080p 11 років тому

    Way better explanation than class. Thanks!!!

  • @holmes9405
    @holmes9405 12 років тому

    dude i love you man i'm in AP calc as a senior(highschool) and actually starting to like math a lot more than i did when i was in geometry and algebra 2 and stuff. Which is probablay good, cause i wanna go into engineering. just curious, were you a math major?

  • @ernestoponce6208
    @ernestoponce6208 10 років тому +29

    "Complicated stuff[...]" LOL I've never heard it described like that

    • @mikedimaulo1055
      @mikedimaulo1055 10 років тому +9

      it's a brilliant way to teach people who arent acquainted with the subject well enough yet

    • @paids3764
      @paids3764 5 років тому

      well... he's not wrong

  • @prodmyidol
    @prodmyidol 13 років тому

    Final exam in 12 and a half hours. JMT Cram is the best kind of Cram.

  • @Lallushe
    @Lallushe 8 років тому

    U're the best. Thanks to your vids I understood everything about derivatives! Thank you!

  • @BJSRecordingStudio
    @BJSRecordingStudio 11 років тому +1

    why is the derivative of (1+e^x) = e^x? shouldnt it be xe? refer to 7:57-8:03

  • @jjt90s
    @jjt90s 12 років тому

    great video. i missed a lecture only had the textbook to go by, which was incredibly confusing. this cleared up a lot of the jibberish. thanks !!

  • @MannyRataul
    @MannyRataul 2 роки тому

    And once again, Patrick comes to the rescue.

  • @ohmysausages
    @ohmysausages 12 років тому

    I've had a look but couldn't find a video relating to my question but couldn't find anything, but do point out if i've missed one! I tried to find the derivative of ln(x) using the limit definition, and i get the h and everything to cancel but constantly get 1 as the derivative.
    I basically rose the bottom and top of the fraction to the power of e, so the ln canceled and i had (x/x+h)/e^h and then put h as 0 in.I'm thinking that you can't do the whole raising to the power of e thingnow though

  • @jeannynel
    @jeannynel 13 років тому

    Hi, I am confused on the example where you tell us to use the properties of logarithms to simplify first. At 5:02 in the video, whenever you get the 3 as part of the derivative, why doesn't that end up being zero? Isn't it a product of 3 multiplied by the logarithmic function? 3 X Ln(2x+1).....Derivative of 3 = 0??? Or am I thinking of entirely incorrectly??? Thanks a lot for all of the help though!

  • @sammiemyboo
    @sammiemyboo 12 років тому

    when you bring the 3 and the 4 in front of the ln, why didnt you subtract one from that and put the exponent above those two functions?

  • @ldpradhan
    @ldpradhan 10 років тому +1

    i wish i had bumped unto des awesum vids earlier...nvr mind. u make maths so much fun and easy! Thanks a lot. :) dunno y, we cnt hv cool and knowledgeable teachers lik u who help us grasp things in 5 min!

  • @selim8611
    @selim8611 8 років тому +10

    5:55 the looooong way
    haha, I almost did it that way at first I feel ashamed of myself

  • @sinethembazikhali5691
    @sinethembazikhali5691 8 років тому

    I've got 50% in the bag for my test next week.....Thanks 4 the tutorial

  • @ren2293
    @ren2293 12 років тому

    "so I've got a natural logarithm of 4 that's gonna be down there hangin out" lol, best description of mathematical processes ever!

  • @ceesh5311
    @ceesh5311 3 роки тому +1

    still relevant after all those years

  • @LowRoller1
    @LowRoller1 13 років тому

    How can you get a thumbs down for this video!?!? You do a great job explaining... Thank you for the help!!!

  • @shamsudin8918
    @shamsudin8918 7 років тому +1

    sir I am Pakistani and very thankful of you by this method of solving

    • @patrickjmt
      @patrickjmt  7 років тому

      happy to help from Texas, USA! :)

  • @chrisbad534
    @chrisbad534 8 років тому

    Very helpful, now I fully understand it thank you. I'm ready for my calculus final

  • @sedosadek1555
    @sedosadek1555 12 років тому

    if you make more of complicated examples with new ideas
    you will be the ever best prof but still great work

  • @sarahpritchett6517
    @sarahpritchett6517 9 років тому +1

    the irony when your looking for Calculus help and the ad before the video is for an online math help for algebra 1 and 2

  • @mosesaltair3893
    @mosesaltair3893 11 років тому

    So... Rule "2" is really the same as the first, because in rule one if you did multiply by dX after you took 1/x you'd always get one?

  • @neutral999
    @neutral999 13 років тому

    @dajakesta1234 I am pretty sure that e^x + 1 = e^x
    Because see, when you take the derivative, the power 'x' comes down and you gotta take the derivative of that as well. so it would be x . e^x = (1)(e^x)

  • @koolchica23
    @koolchica23 11 років тому

    why do you multiply by e^x at 8:04. I see that you're taking the derivative of what is in the dotted lines, but i don't understand for what reason.

  • @lawtzelap
    @lawtzelap 13 років тому

    Seriously awesome vids patrickJMT seriously thank you!

  • @chapinero017
    @chapinero017 11 років тому

    on your first example... using the formulas given is fun and all... but as an engineer in progress, i want to know why things happen and not just memorize..
    so for example 1:
    i rewrote it as y= ln(10x^2) = 2[ln10x]
    the derivative of ln10x= (1/x *2) = (2/x)
    this must be wrong... but why?

  • @kemberlemartinez5404
    @kemberlemartinez5404 9 років тому +1

    Teaches better calculus than my calc teacher

  • @jownzyu
    @jownzyu 13 років тому

    "take the derivative of the stuff, and multiply it by the stuff." makes much more sense than formal math language from the text! at least for me. LOL

  • @purplepick1
    @purplepick1 14 років тому

    this is actually very very helpful.

  • @loriejanel.letada4631
    @loriejanel.letada4631 10 років тому

    I love this video!! :) It was presented very well.

  • @mahimasaini4360
    @mahimasaini4360 9 років тому

    i love you. thanks for making these super helpful videos!

  • @abbypaul4014
    @abbypaul4014 9 років тому +1

    Is the order mixed up on product rule in the 2nd example?

  • @jeannynel
    @jeannynel 13 років тому

    Ok, Once again, the last exaple on this video is confusing e. Shouldn't we take the Derivative of the inside function of the logarith one more time? The property says to take the derivative of the function.....which is where you got the last e^X, but then the chain rule tells us to take the derivative of it again, which would be one more e^X....right? So many rules and laws its hard not to break any of them....
    :)

  • @VironiaRoshdy
    @VironiaRoshdy 6 років тому

    Thank you! You made it so easy.

  • @minakatani
    @minakatani 13 років тому

    I have a quiz on this today...you really helped me out :)

  • @patrickjmt
    @patrickjmt  12 років тому

    i beg for change outside of the library downtown

  • @ibrahimmaki176
    @ibrahimmaki176 7 років тому

    MR patrick in the last example i couldn't know where you took the 2

  • @champlaya7
    @champlaya7 9 років тому +1

    Thank you for the informative video!

  • @JusenZurela
    @JusenZurela 8 років тому

    Thanks for the tutorial, it really helps me.

  • @patrickjmt
    @patrickjmt  12 років тому

    @djumr : ) thanks!

  • @JimTimBro6
    @JimTimBro6 11 років тому

    thanks for the tips man, it really helps :)

  • @lexushartley9346
    @lexushartley9346 9 років тому

    Thank you so much for all your videos! Math doesn't seem like satanic ritual talk thanks to you!

  • @ian559fresno
    @ian559fresno 13 років тому

    @patrickJMT yeah unfortunately thats true.

  • @Hero-xt2lu
    @Hero-xt2lu 9 років тому +1

    thanks man!! ur videos are brillant...and u as well!!!

  • @rizgjoharji911
    @rizgjoharji911 8 років тому +1

    Thanks, that help me so much

  • @blumucus
    @blumucus 12 років тому

    thank you so much I wish you were my proffessor

  • @tebogosenna4462
    @tebogosenna4462 10 років тому +1

    thanks sir i highly appreciate it

  • @MMubariZZ
    @MMubariZZ 7 років тому

    for the 1st example you finished at 2:13 , why cant we simplify 2x/(x^2+10) to 2/(x+10)?

    • @MelatWorku
      @MelatWorku 7 років тому

      You can't factor out an x from ( x^2+10)

  • @connorbertuccelli
    @connorbertuccelli 10 років тому +1

    so the quotient formula of [f'(x)g(x)-f(x)g'(x)]/(g(x)^2 does not apply with logs?

    • @NFLAdam86
      @NFLAdam86 10 років тому +1

      I'm pretty sure for derivatives of logs, as far as basic ones go, you only need to know the product/quotient rule.

  • @iz63
    @iz63 10 років тому

    thank you so much for making this

  • @anthonydionise2383
    @anthonydionise2383 10 років тому +1

    how do you find the domain of natural log functions

    • @TheMrgerm
      @TheMrgerm 10 років тому +2

      domain is x>0

  • @MultiMONEYGUY
    @MultiMONEYGUY 11 років тому

    GOD BLESS YOU PATRICK!!!

  • @victormai5182
    @victormai5182 6 років тому

    you make great tutorials

  • @s.v.5922
    @s.v.5922 11 років тому

    Thank You Partick!

  • @andrewgeorge2697
    @andrewgeorge2697 8 років тому +2

    u r really perfect good job

  • @abakahalfred3884
    @abakahalfred3884 6 років тому

    Thank you very much, it is of a good help.

  • @Juligonza89
    @Juligonza89 9 років тому

    May the lord have you in his mercy. Your videos have been so helpful.

  • @berkeleysha1
    @berkeleysha1 12 років тому

    Thank you so much for this! Really appreciate it!