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``Claim D_yf(x,g(x)) invertible'' by kfgauss70 on 2009-01-04 14:28:22
Immediately after claiming f(x,g(x))=f(x0,y0), should one claim also claim that D_y f(x,g(x)) is invertible for all x \in U (as it actually is)? In this way the expression of the derivative D_x g(x) can be given.
Regards.
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