Thanks a lot chiro, it is much appreciated :-) Yes your assumptions about what I was trying to say are correct...both y = f(x) and y = g(z) point to the same y.
I did not realize that it could be so obvious ! I was worried regarding the fact that the domain of both f and g is R1, whereas the...
Hi Chiro, thank you so much for your response.
Actually I am not interested in any specific functional form or properties of h. All I am looking for is its existence.
So it is clear that both f and g will exist by the implicit function theorem as mentioned above (because the partial derivative...
Hi everyone,
I do economics but am very poor at Math. I had a specific and perhaps silly question about the implicit function theorem, but will be grateful for an urgent response.
Suppose we have a function, U(x, y).
x and another variable z are linearly related so the function can also...