Second Derivatives Using The Multivariable Chain Rule

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We show show to use the Chain Rule twice in a row. This will require the use of the Product Rule and Chain Rule.

#mikedabkowski, #mikethemathematician, #profdabkowski, #calc3
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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!

breadleyloaf
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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

Mikex
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Amazing how you can draw things flipped so well!

uxleumas
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Thank you sir, best explanation I've came across

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

joycelyn
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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?

ejimadam