Chain Rule With Partial Derivatives - Multivariable Calculus
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- čas přidán 30. 10. 2019
- This multivariable calculus video explains how to evaluate partial derivatives using the chain rule and the help of a tree diagram.
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The Equation of a Plane:
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Lines & Planes - Intersection:
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Angle Between Two Planes:
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Chain Rule - Partial Derivatives:
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Implicit Partial Differentiation:
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Directional Derivatives:
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Great video! At 3:52 dy/dt should be 15t^2.
I was looking for such a comment
@@foundmee same
I thought I was the only one who noticed that. I thought it was just supposed to be 15^3
Thanks man, great comment!
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first problem's answer should be 15t^2, not 15t^3
ikr I was so annoyed by that haha
Yeah
Nah bro he accudently wrote t^2 but it is supposed to be t^3
@@divyoroy9056 are you on pot? haha it should be 15t2
It was just a simple mistake
Professor Organic Chemistry Tutor, thank you for an awesome outline and analysis of the Chain Rule with Partial Derivatives in Multivariable Calculus/Calculus Three. Problem solving is always the key to understanding all the concepts/materials in Mathematics, Physics, Computer Science and Engineering. The Chain Rule is problematic from start to finish in Calculus Three. Thanks to the great viewers for finding and correcting the small error in the beginning of this video.
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Thank you so much for the video. Without it I would have been in the dark with not only multivariate chaining, but single variable chaining as well.
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That tree explanation is brilliant for understanding
Perfect video, thanks a lot! :)
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3:56 shouldn't the derivative of 5t^3 be 15t^2?
Best Video on multivariable chain rule
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This is calculus 3
@@OGCBxGrubcan still be used in cal 1. Just using applications of partials rather than implicit and tbh partials are easy to understand so I’m sure he figured out how to do all of it the cal 3 way lol
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Great video! Could you make a video about the second derivative of a multivariable function when you have to do the chain rule?
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One thing i’m unsure of though, is in the final example where you begin combining terms, (2zy^3) and (2rst) you multiply together to get (4zy^3rst), but you do not combine (3y^2z^2) with (3r^2st^2), why is this?
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everyone in the comments gaining some sort of ego boost for correcting a simple math error, but we are all here watching these videos cause we are lost in the first place 😂
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Happy to see people in the comments rejoicing that they saw the mistake on their own. I did too. dy/dt = 15t^2
is first exercise dy/dt=15t^2 NOT 15t^3 right?
Thank you a lot
Always make the tree diagram. It's really intuitive
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Can u plz make a video fourier series and line integral and also on greens theorem
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