MathGroup Archive 2002

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Partial derivatives and implicit inversion?


I have two functions in polar coordinates.


and I want to find dg/df ( where "d" indicates
PARTIAL differentiation).

The problem is that I cannot explicitly express
r,t in terms of f,g. so, I want something like

dg/df = dg/dr * dr/df + dg/dt * dt/df

but I don't have dr/df or dt/df. I don't feel safe computing
df/dt and then inverting it. I think I'm missing a step somewhere.

Any help or references appreciated.

Thanks in advance.

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