Logarithmic Differentiation

[@lostinthedunya]

Which devil invented this

[@b_08_amitkumarsahu90]

Zohal H are you a stem student

[@jqyhlmnp]

some dude was like, you know what I'm gonna do, I'm gonna invent a method to make a computer, but not only am I gonna use non-English, I'm gonna make it with unknown symbols and unintuitive greek to make it universal... even though that makes it harder for the local people to know

[@TANMAN47TANMAN]

Not hard Just need to learn the separate components Its alot if u dont know conponents Pretty simple with regards to the solution Nothing to stress about unless u havent taken college algebra

[@gevinization]

Thank you for making me lmao.!

[@LagAttacktoSlay]

@@jqyhlmnp Not sure, but I think "Logarithms" originated from Arabs and Indians. Do correct if I am wrong.

[@berkincolak2118]

it's 2019! still you are saving lives! I thank you Sir!

[@fireflies15]

FORREAL!

[@GauravG91]

It's also 2020... 12 yrs old but still need to mention one of the best math teachers on KZbin..

[@carterchan1006]

2022 and he still popping off

[@assassinmaster_8118]

It's 2024 and it's still saving lives!

[@nathanleman6822]

Got a 97 on my calculus one test because of you, i had to miss two classes and watching your videos really helped to catch me up! Thanks.

[@patrickjmt]

nooooooooooooooooo! so many way, way, waaaaaaaaaaaay more talented math people than me. that is not just modesty : ) only the truth. but thanks all the same : )

[@TNTMADNESS]

2018 still saving lives.

[@rc_woshimao957]

2020 still saving lives.

[@jackjxsn3027]

2021 still saving lives

[@jeddcatindoy1609]

it's 2016! still your saving lives! I thank you Sir!

[@danielacwibeker9845]

2017 now :) This guy is my private math tutor

[@davidb4509]

Now it’s 2018. and STILL saving lives. 😂

[@harlyrabaya7830]

and now its 2019, but still saving lives

[@GlitzandGlamorous]

It's 2017 and you're still saving lives! I thank you Sir!

[@cihangonen9746]

18

[@a-dalematthews4364]

19

[@petersonkomane2689]

22

[@tito2154]

And cramming for finials just got a little easier, thanks man.

[@HozzyOzzyOzzyOyOyOy]

The compilation of views from all of your videos may actually prove you to be the most helpful math man in the world. Good work and thank you! Cheers

[@PrettyMaggiee]

thanks to you PatricJMT, i have an A in calculus and let me say, i have one of THE HARDEST, most TOUGHEST professors at my college.. but you make everything so understandable and straight forward. thank you sooo much!! i hope you teach up to multivariate calculus and linear algebra!!

[@Baxtab13]

Thank you for that comment about the (variable)^variable. That was always the thing that I couldn't get when trying to know when logarithmic differentiation is necessary.

[@NehaGill-vh9wv]

Thnx it's helpful

[@Lucas-ns9hd]

"Hello everyone, this is YOUR daily dose of logarithmic differentiation"

[@jacobbabcock8943]

how bout that cat stealing chicken nuggets tho

[@jamesd9215]

thanks man, you just saved another student's life today

[@OswaldChisala]

You're awesome man! Thank's for turning what could have been a night-long search on how to use logarithmic differentiation into an 8 minute video on all the little things I had forgotten. Kudos. :)

[@patrickjmt]

@pinkybill2003 the derivative of a constant is zero - you can always use the product and see that you get the same thing

[@hasben0]

plz keep posting these vidoes, i have improved alot in my calc class just from watching these videos. your the best teacher ever.

[@kylemahoney3346]

I gave up on the one problem I was working, then I watched this video and regained the confidence to complete mines....and I got it right!!!!!!!!!!

[@patrickjmt]

derivative on ln(x) is always 1/x, yes.

[@patrickjmt]

@cowboyzfan713 there it is

[@djd259th]

I wonder how many of us would fail calc2 if it weren't for you... You're a lifesaver. Thanks again!

[@Tragel102]

you saved my life

[@gabegransden]

2020 STILL saving lives!

[@brutal8138]

Wow, you are sooooo much better than my Calc 2 professor. She absolutely sucks.

[@paulgarcia2887]

That's what she said.

[@tinady116]

This man is literally saving my college GPA! THANK YOU!

[@ImTooAbstract]

This video is over 5 years old and it still helps people!

[@ImTooAbstract]

@RandomGuy shit's crazy

[@patrickjmt]

no problem!

[@SOUNDSlikeRAYGUN]

Thank you for posting these videos! I'm taking my math courses online and it's been more than a few years since I have been involved in any kind of math. Your videos are a tremendous help!!!

[@patrickjmt]

@sulmazz glad i could help : )

[@patrickjmt]

no. if the problem had been ln [ x^x] then that would work, but not for [ ln x ] ^x ; the rule does not apply now

[@patrickjmt]

' If you want to get rich, you start a religion' - Hubbard

[@jayzeus7]

After every Calculus lecture I watch your videos to gain a greater understanding of the subject being taught. ~Thank you for these videos to help me learn and enjoy the wonderful beauty of Calculus!

[@patrickjmt]

thanks!

[@patrickjmt]

i knew it would be on there! that is why i made this!

[@sulmazz]

If I ever had to teach calculus - I would watch your videos and then just mimick everything that you say and do down to the T !! thank you for helping soo many of us pass and even start to enjoy Calculus

[@Logan-sm3zl]

Very Good explanation!!

[@patrickjmt]

sure! happy to help : )

[@alexkasimir9931]

your explanations are consistently well done, easy to follow. It's as though you never forgot what it was like trying to learn calc. .JK CTY is dead on! you're saving lives!

[@patrickjmt]

@Spiceman333 derivatives of exponential functions

[@s2kai.143]

You have quite possibly the most useful channel on KZbin

[@1polyron1]

It's Corona, Year 2 and still saving lives!

[@mjjeon2292]

You the MVP

[@kajal091s]

Myung Jeon You should have said MVT (Mean Value Theorem).

[@mjjeon2292]

*shivers in the corner*

[@Jakenbake98]

+Myung Jeon no its *JMT*... patrickJMT

[@TheExcluZ]

Thank you so much for helping me get through my exam in less than two days :D. I've watched every video from basic rules all the way towards this and it has helped me A LOT.

[@NJRFilms1]

What just happened

[@kevinkuzwayo1867]

Thoroughfare Entertainment lol

[@rc_woshimao957]

mAgiC

[@patrickjmt]

@vehiclerandomvideos you use logarithms. i should have videos on solving exponential equations somewhere if you do a search on my videos on my channel

[@miketensor3862]

Where has this channel been hiding? Great videos! Within like 3 hours of bingeing your videos think I'm a little more equipped than before in calculus. Thanks a lot bro.

[@patrickjmt]

happy to help. spread the word. hiding in plain sight :)

[@ImBiebersBarbie]

you are the best math teacher, hands down, got a 96% on my calc midterm thanks to you!

[@patrickjmt]

except on tuesdays though

[@Lexyvil]

Your videos are saving my sanity. Thank you for relieving many of us from depression.

[@patrickjmt]

there already are links if you click on any video link on my site ;)

[@MrFrankthetank0000]

Only Patrick's terms get to "go along for the ride" or just stay "hanging out." Great work as always

[@patrickjmt]

because e is a number, x is a variable

[@Creature184]

The first problem you did was literally the same problem I have to do for homework haha. This was a great help, thank you!

[@patrickjmt]

aww yea!

[@ThousandGigs]

bro...bro....bro!!! *bows* your awesome!

[@kieranm9340]

it's 3005! still your saving lives! I thank you Sir!

[@patrickjmt]

thanks my friend! glad i could help

[@legacy.theproducer]

more important than saving my life, you saved my gpa! if you're ever in vancouver message me i'd like to buy you a beer!

[@manana_kunene_]

m ryting my test in a few hours from now....m glad i saw this b4 ryting!tnxalot!

[@CharlahMurphah]

Hey Pat, you should totally put this in your first semester Calc playlist! Thanks for all the help!

[@ezekielborasca491]

It's 2022 and still saving lives! I thank you Sir

[@jesussaquin6266]

Coronavirus, still the best math doctor out there.

[@HeyWheresKel]

"My 10's along for the ride" I like how you word things.

[@patrickjmt]

@XangelkatzX i always try to use jedi mind trick to pick up the pen with my mind, but it has yet to work.

[@JohnnyRocket92]

Thank you soo much. I have a Calculus midterm tomorrow or rather later today and this was a good review of the material and actually shed light where I was confused on.

[@alxjones]

Hey Patrick. I like this technique and find it really useful. I would just like to provide the explicit way of doing this derivative, using multivariable calculus, in case you or anyone else reading was curious. First you rewrite y=ln(x)^x as y=u^v, where u=ln(x) and v=x. You then use the chain rule -- ∂y/∂u(du/dx)+∂y/∂v(dv/dx) -- and you will find your derivative to be ln(x)^(x-1)+ln(ln(x)) ln(x)^x, which (after factoring out ln(x)^x) is the answer you got. Thanks for reading! :)

[@itsafiq]

It's 2018 and you're still saving lives thank you sir !

[@aparrotslife]

Patrickjmt is my savior!!!! Thanks for helping me get an A in my calculus class...heh is awesome.

[@hanzalazahid564]

it's 2020! still saving lives. Thank You very much!

[@patrickjmt]

well, all derivative videos are rates of change videos : )

[@shatadip7]

You're a great teacher. Thank you!

[@makelifeprettiie]

@green1375 you multiply by y on the left side to cancel it out, and multiply it also on the right hand side. but because you want all your terms in x, you sub in the value of y which would be the original question.

[@cybergen49]

14 years later and this video is still helping people!

[@ruger51995]

3:17 you differentiation the x^2. But not the 10. Something seems wrong and inconsistent there

[@pernellius]

i used to be scared of logarithmic differentiation... i always skipped problems if i saw a ln or an e. thanks to your explanations, i now appreciate them as a shortcut and am not so intimidated :))

[@BeatriceTanLim]

Thank you thank you thank you!!!!! You teach better than some of our college professors!!!!

[@helenarodriguez7079]

your videos are so helpful!!!!

[@jonibekislomjonov9298]

2021 you're our saviour, definitely helped me. Hope you are staying safe

[@pranava7640]

its 2020 still saving lives. thank you sir

[@veilofignorance9573]

Thank you! I really love these videos! and you are extremely helpful!

[@MichaelKumove]

@patrickJMT you are my mathematical hero

[@jackeddemon]

>on the right.... i lol'd

[@patrickjmt]

how do u write that as a product?!

[@spurspower]

That's funny:) Thank you for the upload

[@StephenWoerner]

omg this is the best type of this video I've ever seen. you have my sub sir

[@BellaMrdch]

i visited your website... i have to say, you have an impressive amount of videos. I've only watched a few of your videos but i do think they may be able to help me for when i sit my IGCSE addmaths exam. So, "thankyou" in advance:)

[@jtryx]

you are the best teacher i never had.

[@StarlightOnly]

I love calculus! My teacher is as good as you are to teach differentiation, so he makes me understand everything. It's my absolute favourite class :)

[@crxssfire525]

it's 2020! still saving lives! I thank you, Sir!

[@harunailiya7030]

Bless your soul

[@archambaultalex]

Very clear video! Still helping 13 years later

[@cookiecami18]

THANK YOU! You helped me understand everything I dont understand from my teacher! :)

[@BossMagnus]

man!!! this video was so reliable and well explained... thanks!!!

[@frz0]

Thanks, your lessons help me study a lot. I wished I had found these videos a lot earlier. I would of catch up on my math much faster.

[@HemantKumar83]

This is for others who might be wondering : He isn't using the power rule. It's simply a property of logarithms. Bringing the exponent of the term that you are taking a logarithm of: ln(x)^10 = 10 ln(x)

[@raditztheradish]

Thank you so much! I was reviewing for a Calc BC test, and forgot how to do this. :P

[@Yu2Kal]

@SuperhumanChichi Its a property of logarithms you can take powers infront of the log, like Ln(2x+1)^5 = 5Ln(2x+1), he didn't differentiate the right hand side yet, hes just simplfying it, hope I helped =]

[@bilalbhatti9898]

Essentially it is the product rule. If we were to use the product rule, then take the derivative of 10 is zero multiply but g(x) which is just zero+ whatever. It's faster to just kind of do that part in your head.

[@lovelyanimeangel]

i was actually excited to learn from you! Thank you so much for everything

[@Johannalovcheese]

@pharmacyanastasio He was multiplying the to the x^2 because they were a joint function.

[@variantplatform6006]

Am thinking that you shouldn't have differentiated x^2 on the fourth line, I need your view on that. Thanks.

[@ruger51995]

He should have at least differentiated the 10 . he did it wrong im pretty sure.