Calculus 3: Partial Derivative (28 of 50) The Chain Rule (Type 3)

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In this video I will explain another method (3) of finding the partial derivative of z=f(x,y) where x=x(u,v) and y=y(u,v).

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Michel van Biezen, a very good introduction of the chain rule. You writing down the encourages me to make notes too. Thanks for uploading!

MechanicalEI

If you multiply out the formula and cancel out the partial dx and dy does it not simplify to 2* dz/du?
(d stands for the weird symbol for partial derivative)

hraklispapageorgiou

Dear sir, Can I assume then that the total change in z is the sum of the two partial derivatives dz/du + dz/dv? Any help would be greatly appreciated. I am trying to understand the formal derivation of La Grange in the calculus of variations whereby we are trying to differentiate F[x, y, y'], with respect to epsilon, and am confused as to which term to consider as a constant. Are we differentiating this F with respect to the terms within it implicitly? Thank you.

barryhughes

The rest of the videos from this point are not on the website, I would've missed them all :)

Tahycoon

Make pateron link alot of your viewers are willing to donate to you

yomomomama

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