1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Partial Derivatives and their Inverses?

  1. Dec 1, 2013 #1
    Hi I have a question about partial derivatives?

    For example if I have a function x = r cos theta

    for all functions, not just for this function will dx/d theta be the inverse of dtheta/dx, so 1 divided by dx/d theta will be d theta/ dx? Please help on this partial derivative question. Thanks.

    also for example if i have a function x = p cosh (n) and i need to find the partial derivative dn/dx can i find the partial derivative dx/dn and do 1 divided by dx/dn to find dn/dx?

    Please help me on this.
     
  2. jcsd
  3. Dec 2, 2013 #2

    tiny-tim

    User Avatar
    Science Advisor
    Homework Helper

    hi rollbackcc! :smile:

    no

    1 = ∂θ/∂θ = ∂θ/∂x*∂x/∂θ + ∂θ/∂y*∂y/∂θ :wink:

    (to put it another way: ∂x/∂θ is calculated keeping r constant, ∂θ/∂x is calculated keeping y constant …

    a partial derivative is always calculated keeping all variables constant except the one you're differentiating wrt to)
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Partial Derivatives and their Inverses?
  1. Partial derivative (Replies: 2)

  2. Partial derivatives (Replies: 1)

  3. Partial derivative (Replies: 21)

  4. The partial derivative (Replies: 2)

Loading...