# swedot7.53 If f satisfies the conditions of the inverse function theorem on an open set V in E, show thatJ(f-1)J (f) = 1 where f is 1-1.bolelt odre2.Xo14ob yLe. sin cale. + (o cos dea about

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Please note that f denotes a vector function defined by the set of vectors V in E (one dimensional Euclidean space). help_outlineImage Transcriptioncloseswedot 7.53 If f satisfies the conditions of the inverse function theorem on an open set V in E, show that J(f-1)J (f) = 1 where f is 1-1. bol elt od re2. Xo 14ob y Le. sin cale. + (o cos dea about fullscreen
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Step 1

Inverse function theorem- help_outlineImage TranscriptioncloseLet, any mapf R" -R" is continous ly differentiable on some open set which contains a, and consider Jf(a # 0. Then there exist some open set V containing a and an open set W which contains f (a) such that f V->W has a continuous inverse fWVwhich is differentiable Vy e W fullscreen
Step 2

Jacobi matrix satisfies composable differentiable function

Step 3

Put the values in the r...

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