Logarithmic Differentiation of Exponential Functions

This calculus video tutorial explains how to perform logarithmic differentiation on natural logs and regular logarithmic functions including exponential functions such as e^x. This video provides the formulas and equations as well as the rules that you need to apply use logarithmic differentiation to find the derivative of functions instead of using the product rule, quotient rule, or even the chain rule. This video contains plenty of practice problems. Examples include x^x, e^4x, x^sinx, plus many more.
Derivatives - Fast Review:
• Calculus 1 - Derivatives
Derivatives - The Product Rule - f*g:
• Product Rule For Deriv...
Derivatives - The Quotient Rule:
• Quotient Rule For Deri...
Derivatives - The Chain Rule:
• Chain Rule For Finding...
Derivatives - Composite Functions:
• Derivatives of Composi...
__________________________________
Implicit Differentiation:
• Implicit Differentiation
Derivatives of Inverse Trig Functions:
• Derivatives of Inverse...
Derivatives of Exponential Functions:
• Derivatives of Exponen...
Derivatives of Logarithmic Functions:
• Derivative of Logarith...
Logarithmic Differentiation:
• Introduction to Logari...
___________________________________
Derivatives - Using Logarithms:
• Finding Derivatives Us...
Derivatives of Inverse Functions:
• Derivatives of Inverse...
Derivatives - Differentiation Rules:
• Basic Differentiation ...
Derivatives - Function Notations:
• dy/dx, d/dx, and dy/dt...
Derivatives - The Reciprocal Rule:
• The Reciprocal Rule an...
_________________________________
Final Exams and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
/ collections

[@TheOrganicChemistryTutor]

Final Exams and Video Playlists: www.video-tutor.net/

[@michaeldinardi3237]

This man is changing the world with how many people he has helped.

[@romanempirehd]

Yeah! He's the best teacher I've ever known...

[@henryfayol6667]

Precisely my man ❤

[@crossfitinvolve9018]

Why are you so good at this?!? I've had a multitude of calculus professors and tutors throughout my undergraduate career and you've simplified so many topics in only a few examples. You truly have a gift for tutoring in both mathematics and chemistry. Stay with it!

[@notomatoesx]

Crossfit involve and physics, he’s very good

[@leratoesther9750]

I will be glad for that

[@leratoesther9750]

Welcome

[@dankhindukush603]

I wouldn't have an ass if this man didn't keep saving it

[@red12316]

dank hindu kush probably the funniest shit Iv heard all week.

[@dr_amalia]

😂😂Mee too man😂😂

[@iironhide6209]

You have a way with words

[@MaShah21]

Lmbooooo 😭😭😂💀

[@joecoo332]

😂😂😂 paddy u blast ooo

[@mrjordan7304]

Your ability to remember and be cognisant of small mathematical detail is quite impressive. Thank you.

[@eanjames6446]

This channel is a forkin' goldmine for a person like me! I have worked 26 years as a mechanical engineer, now transitioning to consulting engineering. I need to know my shit! These excellent tutorials fill-in blank areas in my skills, and greatly enhance my understanding of basic principles. Plus JG delivers it in such a casual, no-stress manner. How did dude get so smart? He's helping me be able to score some big bucks, so I am happy to support his work.

[@davidorji4224]

Sir, you apply this on a daily basis as a Mechanical Engineer?

[@zarlei6048]

This man just keeps carrying me, you know your shit and you’ve a pleasant voice as well.

[@tsebomsila8028]

I'm really blessed to come across this kind of teacher,thank you sir you simplify things in a simple way

[@user-xw3iq4cm8g]

THIS is basically what u need to have a good foundation of calculus . Thank you.

[@snoxolonala2174]

This video was really helpful, i always watch your videos dude you are good!!!
i was worried about these rules of differentiation and you made it easy for thank you

[@alejandrodavidrodriguez7038]

I love this guy, he makes things so much clearer.

[@sofilove...20]

Absolutely true bruh.

[@sullengrrl]

i have a calculus midterm in a little over two hours and your video FINALLY made this concept click for me!!!!! thank you for all you do :)

[@tambamelvin3796]

Thanks so very much your videos are immensely increasing my curiosity of learning mathematics, may God continue to bless you..

[@AbdulRahim-cb8kc]

Your doing an amazing job and its amazing how u break down complex concepts to simple examples

[@nanak3363]

Thank you SO SO MUCH .WE APPRECIATE YOUR EFFORTS :)
From- India ,south Asia, Planet Earth , Milkyway , universe .

[@lenmarkgime3145]

My favorite tutor since 2020 until now Thanks for Everything Bro!!!🔥❤️

[@35Tyreek]

wtf? the way I was taught how to do this was so much more complicated than just this simple rule of (u'/u). you've just saved me so much time. thank you.

[@javanyavweza2674]

I WISH I COULD PERSONALLY AND PHYSICALLY SEE YOU TO APPRECIATE ALTHOUGH AM BASED IN KENYA. BASICALLY YOU HAVE GIVEN ME A POSITIVE ATTITUDE TOWARDS MY CALCULUS LESSON WHICH I COULDNT UNDERSTAND ANYTHING MY LECTURER SAYS. GOD BLESS YOU SO SO MUCH I WILL LIVE TO REMEMBER THIS

[@alyssaa.6484]

im currently taking up electronics engineering and im really having a hard time in dif calc. My professor cant even explain this clearly! IM SO THANKFUL I FOUND THIS. It is my midterm examination today. YOU ARE A LIFE SAVER. Just one favor, can u post something like this again but harder?

[@shirinjhuty3521]

This make me feel soooooo much better and the love the trick you give us in the beginning truly changed my thought on math thank you!!!!!!!

[@Luhgooey]

Thank you so much! I feel that I've learned much more with you than with my prof.

[@Stryko]

What an amazing explanation, thank you so much for the help

[@roohijaiswal1403]

Very energetic sir! I have learnt many topics from Vidya Guru channel as well. All content they used that is really so exam relevant.

[@jamjam3448]

You explain sooo sooo well!!! My lecturer's handout is so incoherent!

[@roslyn2758]

Thank youuuuuuu. I watched all 40min. I finally get this. I was absolutely SO confused.

[@danabaldisimo1473]

you just saved me from my exam tomorrow! thank you so much! I love you!

[@minaaa.9813]

You really a good teacher
I can easily understand if you were the one who teach

[@marilu6546]

You have a great teaching method. God bless you.
Un saludo desde Peru.

[@Sinyoro_Murimi]

You helped me pass my Engineering Mathematics.

[@JesusMartinez-zu3xl]

bro you are a god! I was struggling with logarithmic differentiation and omg u saved me!

[@sbusisogift2645]

keep up the good work ,some of us relay on your videos alot

[@_k.e.n.c.g_6368]

Thanks for you help ,you give simpler equations ,compared to what we learn..Thanks again

[@michaelreyes2757]

Bro thank you so much!!! I was contemplating dropping my class but this just made everything so much easier

[@haliimoimaan9783]

you are wonderful teacher No One can defeat you when comes how to teach som Body who need to learn more about math, fysics, and chemistry.you are Creative and great thanks for delivering this knoledge to THE People WHO need so much ,My Allah bless of you . you are great.

[@khalidbornaparte6250]

Yes his fysics is very nice I like it because it Is nice if it was not nice I will not like it but everyone knows it is nice thas why he has so many supscripers and his videos are getting nicer so more supscripers again

[@fatsow3639]

I promise you, You producing best students. Thank you🙏.

[@haliimoimaan9783]

you are adoctor WHO cure THE People WHO suffering from less knowledge about math, chemistry,and fysics. for My understanding you are number One in RUclips,(thank you so much)

[@Yu1551]

Fysics

[@johnnyguilamo9971]

It's actually "physics" not "fysics".

[@yididyasolomon2874]

Really Helpful better than 3-5hrs class 💯

[@makokhasakwa586]

I think My school fee should be paid to you. You make my course to be so easy. May God bless you buddy

[@scottw7472]

So many examples. I love it!

[@Ben-sx5xb]

omg implicit logarithmic differentiation is like a hack... its too powerful!! i love the vid!

[@Lostwolf16]

Thank you so much, can't thank you enough. My professor aced through sections by just doing easy examples and doing homework on cengage was stressful because I didn't understand the basic to begin with. I wasted 4-5 hours for few problems and now I see how easy it was if my teacher had given lecture like this in class

[@sihlethembinkosi4657]

You're a life savior indeed!🙌👏👏

[@revergiltheramorne3280]

Sir u have helped me graduate, paid tutors cant even get on ur level

[@marshall7994]

Thank you so much! You are really one of the best tutors on RUclips. I hope you are doing well. ily oct

[@robertg2285]

great video doesnt miss a step. Thank you!!!

[@hilaryvankrimpen4660]

His videos are worth gold!

[@khalidmomandd]

Excellent and perfect explanation! Thank your sir

[@ATM_GAMINGTOUR]

You've saved another students today thank you

[@danielgalic-macdonald8569]

Watched two of your videos, very helpful

[@v.i.n.t.a.g.e._w.i.n.e.s.]

way better than my lecturer,kudos👍👍

[@anaalepio3905]

U're a God sent. Thank u Soo much. Hope u are well and God bless u❤

[@noonanoony3940]

شرح ممتاز ووافي ❤️

[@imanhqiqtlri6581]

Thank you so much...
İt is clear

[@TheOrganicChemistryTutor]

No problem

[@philipdolan3928]

I have not come this far yet .but I find this very good . it is 645 am and I find myself watching before I leave for class.

[@astroxuu7070]

im goin crazy due to my basic cal, thank u so much organic chemistry tutor

[@-soldier5308]

Thank you man you made my future I appreciate that thank you so much for all you did

[@jochebedadwoasutherland7898]

VERY insightful, thank you so much

[@johnserge3930]

A good explicative video feed for any them Beltalowdas rockhopping for a bettar workshift.

[@bradwalter7807]

these videos are superb

[@ryanford45]

You're like my second calculus teacher.

[@Pr1nc3_Jay]

I wish I could drop out and get a degree for learning from these videos. Many professors don't deserve a single dime when their "teaching" is compared to what I can learn in these videos in under an hour

[@JesusMartinez-zu3xl]

definitely spot on!

[@kwesikojo4706]

Great and a fantastic teacher 👍👏

[@emintolukan644]

Thank you very much bro! You are my grade saver!

[@freddielowor]

We Thank God for giving us you 🙏

[@babucarrmjammeh5060]

thank you so much,your video is so powerful

[@bonzaralph]

These are brilliant thank you so much

[@kingkobra756]

Thank you sir
take love from Bangladesh

[@md.akibhasan5633]

now please do something on area between two curves .make a long video on this.

[@ntsakonkuna2616]

Thank you so so much. Much appreciated!

[@sofilove...20]

Absolutely easy thanks for lessons bruh...

[@tarekazoury223]

you are a king and life saver

[@introvertedsinethemba]

SALUTE...every video of this guy I've watched does something

[@michaelsherwood1746]

Ligit saved my calc grade

[@md.akibhasan5633]

Thanks ❤❤❤ . I needed this.

[@starcaron8282]

This really helped me ☺many thanks

[@justineng8567]

this video blew my mind, product and quotient rule is officially dead to me 💀

[@peterbrillecamba3171]

I'm confused on when should we use the identities when differentiating. Are there any rules or requirements on when should you use trig identities? Because at 27:15, I thought cosx/sinx would be cotx because of the identity. I'd appreciate anyone who could help me figure it out

[@jonathanapwoka2004]

Hi, Sir....
How am i supposed to integrate x6^x?

[@malizanikachiza7923]

Continue giving us nice tutorials😋😋😋

[@mbenitez6722]

on 3:40 I am just curious, why are you not multiplying the [ 3x^2 * (sqrt(5-9x)) ] and [ (sqrt(5-9x)) * (2) ]

[@marshalleriksen3164]

YOU HAVE A GREAT DAY SIR

[@kylewog6522]

Wow! this video was perfect.

[@nandakumarcheiro]

Some information on hall's effect could be arrived from this information that the electron motion along the msgnetic field axis does not provide any rate of change of magnetic field responsible for an electric field and hence a curl vector produced interact to produce an electric field.

[@KaylaIsMe13]

your a true hero thanks

[@hotvodka7641]

At 20:12 is sinx/x not 1 because you derived it already so it's not a limit?

[@neomokhomo]

If I don't understand anything the lecturer is saying I just come home to these. .If these weren't there I wouldn't have been doing my second year

[@tonjohnbaytamo3606]

THANK YOU SO MUCH .. salamat

[@madelinelloyd4181]

You are the best. Thank you!!!!!!! so much!!!!!!

[@elungatlazarus3867]

thanks
be blessed

[@lethamash7784]

This guy is a star

[@josephbroger4411]

Awesome. Thank you. Thank you.

[@amaan0018]

Why do you not use porduct rule at other questions?

[@Nur-eu6ej]

please do a video on planes and the different forms!!!!!

[@Nate-xv4bc]

Great vid man!

[@jaymirabito5029]

at 15:41, why does he not use the product rule for the derivative of (5x-9)ln4 but then does at 17:15? he gets this weird hanging +1 that the formula doesn't have in it.

[@tarekazoury223]

at 20:10 can we turn the sinx/x into a 1? i think thats some kind of rule

[@bin-najrdilangalen7435]

Nope, they are the same variable but they dont have the same coefficient

[@toadevergreen2561]

you can only do that when the limit is approaching zero of sinx / x !

[@menujajayavihan7369]

Can i use logarithmic differentiation for second derivative

[@nadineruiz5859]

thank you so much man!!

[@bekiraclan5145]

in 19:16 why he didnt product both sides with y? All other questions he product both sides with y. I cant understand :(

[@franksanchez2702]

I pay for college...yet this guy is better at teaching on youtube.