Logarithmic differentiation

[@TZ4MBM5644]

There was a simple mistake that was done in taking the derivative of question 2. [ ln(2x+3) = 2/(2x+3) ]. However , I like your the way you teach and that music sound of yours😂😋

[@PrimeNewtons]

Oh noooooo! I just looked at it. You're correct. Thank you.

[@keithrobinson2941]

I like this logarithmic differentiation a lot. Thanks for pointing out this approach. (And I'm sure you threw in the little glitch at 8:24 just to keep us on our toes!)

[@punditgi]

Fascinating! Well done, sir!

[@ISHMAELAPPIAH-gc1wj]

U are the best🎉

[@Tezhut]

Very nice video! Thanks.
Just wanted to note that there is a way to differentiate the first example, without using higher level concepts.
You can rewrite to y = e^(ln(x^2 + 3)^x). That becomes y = e^(x*ln(x^2 + 3)) .
Then differentiate. You get an application of the product rule inside the chain rule. And the same answer.
The advantage is that you don't need to use implicit differentiation (just laws of logs), the disadvantage that there things in the exponent and that's possibly more annoying notation.

[@PrimeNewtons]

You're correct. The purpose of the video was to show that it could be done using logarithmic differentiation as an alternative method.

[@gabrielgottlieb5876]

very much easier than quotient rule😍, really like this method ,I wish I knew it last time I was in high school 🤩

[@ThomasTT]

Awesome, this is the best method I ever learned.

[@PrimeNewtons]

Glad it was helpful!

[@kavyakumari7899]

Thanks ! This video helps me to understand the basics really well....!❤❤

[@hardeepkour9800]

Thank you very much sir lots of love from india

[@nelsonwaya9495]

Thanks Mr. Newton

[@ranya935]

شكرا لكم على هذا المجهود الكبير

[@thatpotatopatootie]

Thank you for this! I love your energy 😆

[@anweshbhattacharyya7763]

Very good content 👌❤️

[@user-us4ws9px2s]

ln(2x+3)'=2/(2x+3)

[@PrimeNewtons]

Oh no! What was I thinking! Thank you.

[@the_warpig1919]

I think you're right, about logarithmic differentiation being better, but still in some cases the quotient rule can be the better option.

[@SaneleMgweba]

LOGARITHM DIFFERENTIATION IS THE BEST

[@evanfontenot7897]

This man is an academic hero

[@tpthpt5973]

Great video!

[@othmanabdalamohamedadanabd1978]

Waaw nice exmpe and explnton❤❤❤🇸🇴🇸🇴🇸🇴🇸🇴

[@BanteMolla]

You are one of the best lecturers . Keep it up!!!

[@johnnolen8338]

I just found the derivative of sec^-1(x) using logarithmic differentiation. Sweet. 🤓

[@jom5955]

Good job.
Do you have teachings on Parametric Differentiation

[@PrimeNewtons]

Not yet. But if you email me a question, I can do a video. Message my channel on Instagram.

[@jom5955]

Alright, send me your email address

[@PrimeNewtons]

[e-mail]

[@ClaraLukhere]

Learnt something,for me as a beginner

[@robertgibson964]

thanks for explaining each step!

[@austinjosiah596]

Thank u sir now I understand

[@Abby-hi4sf]

I wish I knew about logarithmic differentiation. than quotient rule derivative. Thank you!

[@DennisKamuyu-yl8bn]

Thanks doc🎉

[@ceyda18]

Thank you so much for the video 😊i wanna ask you something if we didn't know the steps of the problem, wouldn't the derivative of lny normally be 1 / y? Are we taking implicit derivative because we know we will do implicit so we have to do this ?

[@ShehMi]

in example 1. Why did you not go further with determining ln(x^2)+ 3? why stop there?

[@johnnolen8338]

Personally I'm okay with either the quotient rule (a special case of the product rule) or logarithmic differentiation. Although in most cases logarithmic differentiation is quite a bit easier and to be honest I'm fundamentally lazy. 😎

[@PrimeNewtons]

You are right. Sometimes, we just like to do our thing our way.

[@nitorikinni488]

Thank you!

[@lionelforbes1688]

The lesson on the board needs to come closer to the viewers,and visually amplify for clarity.

[@PrimeNewtons]

I hope you find the newer videos closer.

[@r4_joey]

arigato sir

[@jovanihirmay1481]

Did you make a mistake or I am missing something?