(adsbygoogle = window.adsbygoogle || []).push({}); 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/∂y}J(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

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Partial differentiation -higher order

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**