1. Not finding help here? Sign up for a free 30min 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 differentiation -higher order

  1. Oct 18, 2011 #1
    1. The problem statement, all variables and given/known data

    The determinant J (f,g/u,v) =|∂f/∂u ∂f/∂v

    ∂g/∂u ∂g/∂v |:

    if z = f(x,y) and g(x,y) = 0, show that dz/dx = ∂f/∂x*∂g/∂y - ∂f/∂y * ∂g/∂x/∂g/∂y = 1/ ∂g/∂yJ(f,g/x,y)

    2. Relevant equations

    ∂z/∂x = ∂z/∂f*∂f/∂x
    ∂z/∂x = ∂z/∂g*∂g/∂x
    ∂z/∂y = ∂z/∂f*∂f/∂y
    ∂z/∂y = ∂z/∂g*∂g/y


    3. The attempt at a solution

    should u be placed in the f function and v in the g function? So it may be f(u), g(v) = 0. need some tips please
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?



Similar Discussions: Partial differentiation -higher order
Loading...