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Partial derivatives and implicit inversion?
Hi, I have two functions in polar coordinates. f[r,t],g[r,t] 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.