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 Exercise [10.08] 
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Joined: 12 Mar 2008, 10:57
Posts: 69
Location: India
Post Exercise [10.08]
1.\frac{\partial}{\partial{X}}
=\frac{\partial{x}}{\partial{X}}\frac{\partial}{\partial{x}}+\frac{\partial{y}}{\partial{X}}\frac{\partial}{\partial{y}}
=\frac{\partial{X}}{\partial{X}}\frac{\partial}{\partial{x}}+\frac{\partial{(Y-x)}}{\partial{X}}\frac{\partial}{\partial{y}}
=\frac{\partial}{\partial{x}}+\frac{\partial{(Y-X)}}{\partial{X}}\frac{\partial}{\partial{y}}
=\frac{\partial}{\partial{x}}-\frac{\partial}{\partial{y}}
2..\frac{\partial}{\partial{Y}}
=\frac{\partial{x}}{\partial{Y}}\frac{\partial}{\partial{x}}+\frac{\partial{y}}{\partial{Y}}\frac{\partial}{\partial{y}}
=\frac{\partial{X}}{\partial{Y}}\frac{\partial}{\partial{x}}+\frac{\partial{(Y-x)}}{\partial{Y}}\frac{\partial}{\partial{y}}
=\frac{\partial{X}}{\partial{Y}}\frac{\partial}{\partial{x}}}+\frac{\partial{(Y-X)}}{\partial{Y}}\frac{\partial}{\partial{y}}
=\frac{\partial}{\partial{y}}
(\frac{\partial{X}}{\partial{Y}}=0)


13 May 2008, 12:13
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