Logarithmic differentiation

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

[TZMBM]

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😂😋

[keithrobinson]

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!)

[ThomasTT]

Awesome, this is the best method I ever learned.

[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.

[kavyakumari]

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

[gabrielgottlieb]

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

[the_warpig]

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

[hardeepkour]

Thank you very much sir lots of love from india

[johnnolen]

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

[ShehMi]

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

[othmanabdalamohamedadanabd]

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

[Abby-hisf]

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

[jom]

Good job.
Do you have teachings on Parametric Differentiation

[johnnolen]

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. 😎

[lionelforbes]

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

[jovanihirmay]

Did you make a mistake or I am missing something?