Chain rule of the second-order partial derivative

Step by step explanation of how to take the second order partial derivative of a function of u(xi; eta), where xi = xi(x,y) and eta=(x,y).

Feedback and corrections are welcomed.

[yacine]

ONE OF THE BEST CALC VIDEOS EVER THANK YOU

[NormanWasHere]

GOAT. My Lecturer didn’t tell me how to do this but expected me to be able to answer these questions.

[Genie]

very fast, precise, detailed and clear

[aqua]

best video ive watched for this topic, so easy to understand

[neon-]

best out there. Also your handwriting is amazing I never seen someone willing use those variables and write them as well as you did

[RenyxGhoul]

The tree diagram is a helpful and simple way of doing more than one iteration of the chain rule. Thank you for that! The final expression is also very neat.

[jerryw]

This is the best video on youtube for those who needs help with Chain rule of the second-order partial derivative.

[eswyatt]

Thank you so much. I was banging my head against the wall trying to figure out the polar form of LaPlace's equation. The problem was I forgot how to do partial derivatives that require both product and chain rules!

[giuseppecammarata]

Thanks so much indeed, I had been striving to find this explanation anywhere, to no avail until now!

[brightfuture]

Thank you so much after 2 days of continuously searching this topic. I didn't get the way other were teaching. Really love the way you are teaching . Thank You so much. Now i got the complex Chain rule for partial derivatives

[Lusana]

You are the absolute best. So much better at clarity compared to the rest.

[_bit]

way clearer than the textbook we had. godsend

[Abhishek._bombay]

Thank you so much sir lots of love from India 🤍🙌

[saish]

Thanks man this helped me a lot, as there is no other video available on this concept on YouTube, who can teach like this ❤❤

[익형이-zc]

Perfect and great analysis !!! Thank you.

[s_bnr]

Your explanation is great, Thank you !

[aboveal]

very very well explained!! Thanks a lot

[birdiebirdbirdbird]

thank you this is really helpful, simple and clear!

[bhavnasetty]

Such a good explanation, thank you so much!!

[chamnil]

thank you so much, very helpful video.