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# Real Analysis : Jacobian of functions of Functions.

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Independence and relations
Real Analysis
Jacobians (XXVII)

Jacobian of Functions of Functions

Compute the Jacobian del(u,v)/del(r, theta) where

u = 2xy, v = x^2 - y^2, x = r cos theta, y = r sin theta

The fully formatted problem is in the attached file.

https://brainmass.com/math/real-analysis/real-analysis-jacobian-functions-functions-54010

#### Solution Preview

Here u,v are functions of x,y and again x,y are functions of r, theta.

The main solution of the Posting is in the attached file.

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Real Analysis
Jacobians (XXVII)

By:- Thokchom Sarojkumar Sinha

Compute the Jacobian where

Solution:- ...

#### Solution Summary

Jacobian of Functions of Functions are investigated. The solution is detailed and well presented.

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