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Independence and relations
Real Analysis
Jacobians (VIII)

Let u = (x + y)/(1 - xy) and v = tan inverse x + tan inverse y.
If xy is not equal to 1, show that u and v are functionally related and find the relationship.

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Solution Summary

This is an explanation for showing the Jacobian of the functions u and U is zero. This shows how to find the relation between X,Y, Z and U
by using the Jacobian of the functions. It also explains for the condition of not independent by using the Jacobian of the functions.
The solution is detailed and well presented.

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Real Analysis
Jacobians (VIII) ...

Solution provided by:
Thokchom Sarojkumar Sinha, MSc
Education
  • BSc, Manipur University
  • MSc, Kanpur University
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