Logarithmic differentiation

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Prime Newtons

2 жыл бұрын

In this video, I explained the steps for using logarithmic differentiation.

Пікірлер: 34

@zamuninuatueukala1058 Жыл бұрын

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 Жыл бұрын

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

@keithrobinson2941 Жыл бұрын

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 2 жыл бұрын

Fascinating! Well done, sir!

@ISHMAELAPPIAH-gc1wj 3 ай бұрын

U are the best🎉

@ThomasTT 6 ай бұрын

Awesome, this is the best method I ever learned.

@PrimeNewtons 6 ай бұрын

Glad it was helpful!

@kavyakumari7899 Ай бұрын

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

@user-us4ws9px2s 2 жыл бұрын

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

@PrimeNewtons 2 жыл бұрын

Oh no! What was I thinking! Thank you.

@Tezhut 2 жыл бұрын

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 2 жыл бұрын

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

@gabrielgottlieb5876 2 жыл бұрын

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

@user-bz3sw9ys2d Жыл бұрын

LOGARITHM DIFFERENTIATION IS THE BEST

@the_warpig1919 5 ай бұрын

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

@johnnolen8338 Жыл бұрын

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

@ranya935 19 күн бұрын

شكرا لكم على هذا المجهود الكبير

@othmanabdalamohamedadanabd1978 Жыл бұрын

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

@nelsonwaya9495 Жыл бұрын

Thanks Mr. Newton

@hardeepkour9800 2 жыл бұрын

Thank you very much sir lots of love from india

@robertgibson964 3 ай бұрын

thanks for explaining each step!

@austinjosiah596 4 күн бұрын

Thank u sir now I understand

@johnnolen8338 Жыл бұрын

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 Жыл бұрын

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