Introduction to Logarithmic Differentiation

[@TheOrganicChemistryTutor]

Derivatives - Free Formula Sheet: bit.ly/4dThzf1 Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos and Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: kzbin.info/www/bejne/jJ-lZmyJp7ljhrs

[@HamburgerMcBass]

Anyone remember when math used numbers? Those were the good ol' days....

[@mathsandsciencechannel]

kzbin.info/www/bejne/bn6zZ5iXp9mShsU

[@37H4N_K]

Miss it

[@johnpeters9153]

I'm in Cal 4 and DE and I'm pretty sure they are just making shit up at this point

[@peterhanna8163]

@Hans von Zettour its a joke dude

[@MikeB3542]

@@johnpeters9153 Diffy Screw was my "this far and no farther"math class!

[@TheObsidianSociety]

With our college switching to online courses, you have no idea how much you’ve helped me!

[@TheObsidianSociety]

yahya ahmed cool bro

[@phannisaidasari2490]

ifkrrrrr

[@jirachiwishmaker3835]

@yahya ahmed that’s pretty smart, too bad you live in South Korea, hope things get better for your family

[@jirachiwishmaker3835]

@yahya 😂 I think I mixed up north and South Korea...😅

[@Whalllllllllllly]

@@jirachiwishmaker3835 XD dude if he lived in nk he would be dead by now since he using youtube

[@noimage1254]

This dude is literally a godsend. He is singlehandedly helping me pass AP Calc.

[@keziab6758]

Why am I learning this in regular calc smh

[@hsienkangliu1436]

I learned it in MCV4U, OSSD

[@nvsreddy]

Also try Khan academy, he teaches intuitively.

[@sonyduck8663]

@@keziab6758 i mean the content is still gonna be the same, AP just moves rlly fast

[@nihilisticnirvana]

once i graduate at the top of my class, i'm going to send this guy MONEY. did more for me than two years of tuition

[@mahaa992]

did u send btw ?

[@PaxiKaksi]

When an add shows up and says "What... ? Still searching youtube for math help ? Are the videos from xxxx year truly helping ? ...." Yes, yes they are !

[@evanraymond8728]

😂😂

[@Squ4re1]

by xxxx didn't you mean 2006

[@AwesomeProjects20]

It’s 2024 and I still get that same ad in front of this guy’s videos.

[@murtallahomtatah]

@@AwesomeProjects20 Right?

[@mubassirzaman7202]

Sometimes its says " What...? Still searching youtube for math help? Are the videos from Canada really are good alternative too Americ- " - I already skipped the add by then, b/c I already live in Canada, so yes, yes they are!

[@dong-wooklee]

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))

[@rosean374]

ok Harvard material.

[@basketballlhighlits]

@@rosean374 hes just tryna help...dont be rude

[@rosean374]

@@basketballlhighlits rude? that was like a praise. ie a cheer for someone smart. I mean read it like a black girl would. "OKAY harvard material!!

[@suhailraja7797]

​@@rosean374 ain't know what you said read like a black girl 😂 The funny thing is I understand what you mean 😂

[@emmaswan312]

I just found your channel, and it's awesome. This is exactly what I needed. It's not explained in my textbook at all.

[@georgesadler7830]

MR. Organic Chemistry Tutor, thank you for an exceptional video/lecture on The Introduction to Logarithmic Differentiation in Calculus Two. There are multiple ways to attack problems of this magnitude in Calculus. This is an error free video/lecture on KZbin TV with the Organic Chemistry Tutor.

[@shannontobin7825]

Im not even 3 minutes into this video and it had already cleared sp many things up!! Thank you ssooo much. I have an exam this Friday (April 23rd) and this is an important part of the exam

[@gnation855]

How was it

[@sunflower01212]

@@gnation855 yeah i wanna know too

[@benicia9408]

I just want to say I really love you man, you have saved my life honestly. Like when you teach it it just makes sense. My proffesor makes things too complicated and my brain gets confused

[@ryanzink9]

My teacher accidentally deleted the video of him teaching this and I was gone that day. Saving my life once again!

[@natashalarson5165]

You’re literally carrying my math and organic chemistry mark tysm 😭❤️❤️

[@kklol07]

mark?

[@natashalarson5165]

@@kklol07 mark = grade

[@opz0diac]

Love the reassurance at 5:41

[@wildlifeshorts3475]

When I become a professor I’m going to use some of your examples. These videos are the best for brain refreshers

[@YvonSmart]

Best explanation ever!

[@andyhuang1505]

how is this man so goated at teaching. why is this guy not a university prof.

[@osamashaher3772]

They make sure you can barely speak English before letting you teach at a university.

[@koseakalema2290]

Your the most best teacher I have ever found

[@Divnedits]

I dont understand why (me) Computer application student learn these maths 😢what was the point ?

[@werawkthishousedown]

dude this video saved my LIFE

[@jericcenon6782]

You forgot the chain rule on ln(lnx)

[@user-rt6ij3rz5y]

I love you man Every damn singal rule, law that i will ever need in collage is coverd here

[@roohijaiswal1403]

Bohot acha laga sir ye session dekhkar.. Me Vidya Guru ke sessions se bhi kafi kuch seekha hai.. Unke teachers exam relevant important questions kafi easy methods se karwate hain.

[@ianosiemooteki8090]

This guy is literally a savior 👊👊

[@wrjazziel]

Thank you sooOo much!... you have helped me more than anyone out there!...

[@joshuasenteu237]

It has really helped me understand logarithmic differentiation

[@selenide5768]

i hope i get kidnapped and am asked to calculate the derivative using logarithmic differentiation in order to leave. thanks to this video ill be able to do that.

[@DarteySelasi-kq6qx]

I used the quotient rule and had the same thing. Your New Einstein ayo😂😂😂

[@jaredjones1752]

Once you get out of school, logarithmic differentiation can be used in solving problems that traditionally require the product rule or the quotient rule. Less formulas to memorize!

[@charlie_nolan]

I’m hoping to never see this again once I’m out of school

[@nanganouskamanchey1769]

This channel has helped me a lot. Thank you so much!!

[@shawnfernandez1077]

You explanation is very clear

[@CrispyCroustillant]

your videos really saved me from nonsense classes and dying midterms...

[@MakiLorraine]

Best teacher ever❤❤❤

[@_reverse-psycho_855]

You're here because you couldn't understand your lecturer, aren't you?

[@someonesomeone651]

sadly yes

[@Usifyd95dser]

I was not present

[@RDG81919]

Actually, I'm here because I'm interested in this complex stuff 😅. I'd love to be a mathematician in the future, so...

[@por_chae]

Yah im starting to regret my choices

[@wildlifeshorts3475]

What choices?

[@dextnevil2255]

How was it?

[@michaelmasinde9544]

I feel you.

[@nicholasguagliano1947]

The Goat

[@grantphillippi4362]

This video is so helpful. Thanks you

[@danielliko2884]

I have a question. Arent we looking for d/dx. But we are always finding dy/dx. How does this fulfill whats looked for

[@SquatSimp]

Great video, but why do you have to take the natural log at 6:14? Why can't you just bring down the exponent immediately?? Any response would be greatly appreciated

[@SquatSimp]

@Giorno Giovanna I see, but my confusion is coming from why you can't bring down the exponent as is ln(x)^x --> xln(x) instead of the procedure shown in the video.

[@EpicMathTime]

@@SquatSimp Well, to answer that question, I have to ask you one first: why do you think you _can_ do that? If it said ln(x^x), you'd be correct, that can be written as xln(x). But it *doesn't* say that, it says ln(x)^x, which has nothing at all to do with xln(x).

[@lam7por962]

Anyone can please answer me, at 1:06 , when taking derivatives of ln y, why 1/y has to be further multiplied by dy/dx? whats the use of the dy/dx here? Any difference if we just keep 1/y? Thankyou!

[@zooanimal7578]

If you needd an explanation, search implicit differentiation!

[@Altair4611]

you are applying d/dx to y, if it was d/dx to x then it would just be 1/x if you apply d/dx to anything other than x you have to tag a d(variable)/dx to the end dy/dx is saying the derivative of y with respect to x

[@Arthur-so2cd]

since y=f(x), ln(y) is the same as ln(f(x)), so it's a compound function and we need to use the chain rule. the derivative of ln(y) is 1/y and the derivative of y is dy/dx

[@anelegumede4841]

YOUR VIDEOS ARE VERY HELPFUL

[@msfreya777]

You teach me new stuffs everyday

[@dimbanimvula3672]

Thanks a lot for this wonderful video it has given me a head start

[@eljay1644]

i salute you man, you are really a legend

[@inathikobe7173]

The B.O.A.T (Best of all time)

[@Vijay_helo]

The name is ORGANIC TUTOR"... but he is a UNIVERSAL TUTOR😂

[@tamiratdemeke5782]

Your teaching very good methode i like you so thank you my teacher

[@danmike2305]

Math keeps you sharp and above all.

[@lawofselfcontrol]

4:00 why the derivative of ln y = 1/y*dy/dx? why dy/dx?

[@iNullFlag]

I am not sure, but when it comes to the derivative of anything related to y, it should be multiplied by dy/dx.

[@jcers]

Because we have defined y to be a function of x. So, because y is a function, we have to use the chain rule when we differentiate ln(y).

[@danielliko2884]

Doesn't it look for d/dx why are we finding dy/dx

[@thatomofolo452]

Great explanation 🙀

[@YungBoxEater]

Thank you bro these videos mean a lot to me

[@sa758]

for the second question, can't we just take the x to the front? cuz that's an ln property? 6:00 and that gives us x(1/x) which is one?

[@Ruben-ho9jd]

At 9:38 why do you choose to take the natural log instead of taking a normal log?

[@arugula517]

The derivative of ln is simpler than the derivative of other logs but you could use any log base you want and get an equivalent answer

[@shadrickngosa5297]

Good explanation

[@aleksandarristoski2777]

I have a question. At 8:17 you use the natural log derivative formula and use u'/u to get 1/x ln x . But I used the chain rule formula f(g(x)) = f ' (g(x)) ⋅ g'(x) and got the same answer. Is this valid? Thank you :)

[@shachisharma8908]

Yes that's valid..even, if u use implicit func basic formula that's give the same ans. too

[@jbonceu2457]

To be honest you don't need to add the u' in every derivative techniques as long as you understand how composition of function works, where in theory every techniques then actually uses the chain rule.

[@janinegumela6302]

thank you ;-; may you have a nice day

[@johnchwolbwathgoah954]

This has helped me a lot

[@nosiceloletsika39]

You are such a genius

[@MrKim2317]

Thank you very much Sir👍

[@tuetran8652]

Can someone explain d/dx(ln(lnx)) is not 1/Inx? Like lny become 1/y. thanks

[@mariafrat6938]

i literally cant explain my love for you

[@mariafrat6938]

i bless your crops

[@mangotofu1360]

Thank you.

[@kurdistanhomeschool4471]

Thanks a lot!!! You are Awesome!!!

[@onyx9693]

bro u are angelic whatttt

[@kingsleytyloss9398]

Mhhhh u know everything keep on helping us

[@fromblonmenchaves6161]

Why do we use ln x instead of ln |x|, so there are less restrictions on the f'(x) ?

[@user-he6hn9on1s]

with absolute value there's gonna be more mess

[@esma4379]

if this is on my quiz I'm gonna cry.

[@AbuuClifford-x7g]

you are too goooooooood

[@LoadBearingSolder]

i keep on hearing you say "ellen"

[@rosette_renah]

😂😂'Ellen' is 'ln'

[@nikedimazn3872]

In the 3rd example, shouldn't the variable exponent go inside the parenthesis, and then bring it down in the parenthesis of the outside most ln

[@andrewjustin256]

At 9:20 I did not get your answer; instead my answer is dy/dx= (ln x)^x [ ln(lnx) + 1/(x ln x). The way I have received this is that the dy/dx [ln (ln x)]× x is (ln x)'/(lnx), then [(x')/(x)/(ln x)]. Next we get 1/x/x/(ln x) or (1/x^2)/(ln x) or 1/(x^2 ln x). Finally one x is got cancelled and we get 1/(x lnx).

[@Truestory-m95]

I appreciate your help

[@omadasamuel7406]

Excuse me sir..please how come you got 1- 1nx after using the product rule... I'm a little bit confused

[@paranoidowl3798]

At the 10:10 why we do not use the quotient rule?

[@justabunga1]

You can use the quotient. It will just end up the same answer.

[@diegoarturoortegagrajales8188]

6:05 why did you insert another natural logarithm there?

[@justineromeoelino7418]

tf u saved my life bruv

[@tegetegerobinson5728]

Why am I always here before my exams???

[@fredartson]

Hey,in the first example where he showed d/dx(x^x), isn't Ln x a transcendental function? Then why can we take the derivative of both sides

[@EstherJoy158]

Do you have a video that has actual numbers as powers.an getting confused some where

[@TedCruzFeet]

Bro you gotta turn the sound way up on this I’m on the bus rn on my way to first period where I have a test and I can barely hear shit even at max volume

[@kienanmoodley3521]

you are amazing

[@ryancas4110]

8:23 wont you need to find the derivative of the base of ln[lnx] making it 1/xlnx 1/x?

[@kelpyy_1]

Thank you so much!

[@lostdanielfound9724]

why can't we apply the chain rule for the problem: d/dx [ lnx ] ^ x

[@justabunga1]

If you want to see how to make things clear, you can rewrite (ln(x))^x using base e as (e^ln(ln(x)))^x=e^(xln(ln(x))). Then, differentiate using chain and product rule. You would end up as e^(xln(ln(x)))(x(1/(xln(x)))+ln(ln(x))))=(ln(x))^x(1/ln(x)+ln(ln(x))), which is the same answer as before.

[@mathsandsciencechannel]

kzbin.info/www/bejne/bn6zZ5iXp9mShsU

[@DaltonPritt]

Why at 8:06 do we multiply the top and bottom by x?

[@Attalla-t9b]

To simplify it i think

[@JEE-.2025]

​@@Attalla-t9byess it would be easier after simplifying else you would have to apply quotient rule..

[@ThubSS]

Dy/dx of ln(lnx) = (1/lnx)(1/x) =xlnx 1/x is the derivative of lnx. As far as i can understand

[@PrincipalGolden]

on 5:40 why didn't you substitute sinx/x to be 1

[@Postinit]

Because what you're referring to is a limit

[@victorserras]

Thanks for that.

[@migzwrld909]

Thank you!

[@metawhirl4609]

Question: y= (sin x)^logcosx^2

[@gnation855]

Can anyone explain the lnx in 8:33

[@mariemghanmi8647]

Thanks a lot!

[@paes_3107]

calc 1 final in 3 hours and professor lowkey flew thru this cause he was behind grsjkshfsdhf

[@AmberRathour366]

That’s lit, BOYS!😂🤣

[@avanith3579]

Couldn't you simplify sin(x)/x to 1?

[@jcers]

No, this is math, not engineering

[@saklinsk4618]

Thank you sir. :)) . .. ...

[@zaynabb.5140]

Anyone watching these vids in 2021?

[@هِبهعَلي-ف5د]

You graduated 🥹?

[@goblinthegod6972]

For the last one, couldn’t you also answer it as ((1-lnx)/x^2)(x^1/x)?

[@lalotothemax]

No

[@TheRealMOABCinema]

@@lalotothemax Why not?

[@abdulahiibrahim552]

savior

[@abdu0xllah]

thank youuuuuuuu

[@TheExecutoriscoolerthanyou]

Dude I’m a meteorology major, why do I need to take calc 2

[@Anastacia-mq3tt]

For the first problem, can't you simplify sin x/x and write it as 1?

[@JEE-.2025]

Bro you can do that when x is tending to zero.. in limits basically.