Second Derivatives Using The Multivariable Chain Rule

[@breadleyloaf8528]

thank you for such a thorough explanation. I couldn't exactly wrap my head around the concept really from a couple other videos, but this was very concise!

[@mikethemathematician]

@@breadleyloaf8528 I am glad that it helped!

[@Mike149x]

incredible. this is the exact example i needed to learn for 2nd year university calculus course. Only 929 views? criminal. I sincerely hope more people will see this in the future

[@mikethemathematician]

@Mike149x Thank you very much!

[@uxleumas]

Amazing how you can draw things flipped so well!

[@CharlesChow-en2zc]

Thank you sir, best explanation I've came across

[@mikethemathematician]

@CharlesChow-en2zc Thank you so much!

[@nopmano3180]

Thank you so much. This helps me a lot.

[@mikethemathematician]

@@nopmano3180 you are welcome!

[@mehmetemircanga8781]

Very helpful video thank you

[@mikethemathematician]

@mehmetemircanga8781 You are welcome!

[@darrenpeck156]

Excellent video

[@mikethemathematician]

@darrenpeck156 Thanks so much!

[@justzee1933]

Amazing video

[@joycelyn8918]

thank you for such a concise video. this really helped me understand the topic :)

[@ejimadam2022]

For the portions of the equation where you've highlighted that the chain rule is to be used. Why are you differentiating the x and y derivative of the expression you have for dw/ds instead of what's in the boxes?

[@7iiqu]

عاشت ايدك ورحم الله والديك

[@lwannaw2517]

Thank you sir❤

[@mikethemathematician]

@lwannaw2517 Thanks so much!

[@gargikaushik7621]

best explanation

[@mikethemathematician]

@gargikaushik7621 Thanks so much! This is a tricky topic! See this video for some of the complexity in the matter: kzbin.info/www/bejne/hGinZ2SDpZmEp6s