Chain rule: identity involving partial derivatives

I discuss and prove an identity involving partial derivatives. The proof involves an application of the chain rule. Such an example is seen in first and second year university mathematics.

Category:

Education

Tags:

• chain
• rule
• partial
• derivative
• differentiation
• Chris
• Tisdell
• calculus
• UNSW
• Sydney
• mathematics
• lecture
• how
• to
• educational
• tutorial

[justktlol929]

How do you do the 2nd partial derivative?

[DrChrisTisdell]

@justktlol929 /watch?v=VOowCWqQj_g and see the final example

[LHSlaurence]

Great video! very professional. You don't do a proof for the chain rule you used here do you? I can't find it in your videos, if not that's fine.

[DrChrisTisdell]

@LHSlaurence You're right - I have not posted a proof yet. I plan to upload a lecture on this later in the year (around March/April) when I will cover the proof in class/ Best wishes.

[cyberbemon]

i have a function like this..

f(u,v)=uv-v where u(x,y) =xy^2 v(x,y)=x^2-y^2

will the above method work for this?..i'm confused because it has f= uv-v i don't know wat to do. :(

[DrChrisTisdell]

@cyberbemon You can find the idea in this vid: watch?v=m509zAi3X6Q

[ut8le]

I like your teaching style, Dr. Tisdell!

[bodinsoul]

i think the diagram would help students with poor understanding of this concept

[fatchyk68]

Hi,

Chris I have a 3rd year final exam coming, I need some help with 2nd order perturbation nad WKB methods, is there anyway you can post a video regarding them or anything, I would really appreciate it.

[SuperSambhavi]

thank u so much.....it makes my job easy now



[LHSlaurence]

@DrChrisTisdell Thank you :)

[yangjwong]

A++ tutorial. very good teaching style, clear and concise. diagram is great!