Let f : R R be of class C1 and let u = f (x) v = y + x f
Chapter , Problem 32(choose chapter or problem)
Let f : R R be of class C1 and let u = f (x) v = y + x f (x). If f (x0) = 0, show that this transformation of R2 to R2 is invertible near (x0, y0) and its inverse is given by x = f 1(u) y = v + u f 1(u).
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