If \[{{x}^{x}}{{y}^{y}}{{z}^{z}}=c\], then \[\frac{\partial z}{\partial x}=\] [EAMCET 1999]

If \[{{x}^{x}}{{y}^{y}}{{z}^{z}}=c\], then \[\frac{\partial z}{\partia

1.	If \[{{x}^{x}}{{y}^{y}}{{z}^{z}}=c\], then \[\frac{\partial z}{\partial x}=\] [EAMCET 1999]
A.	\[\frac{1+\log x}{1+\log z}\]
B.	\[-\frac{1+\log x}{1+\log z}\]
C.	\[-\frac{1+\log y}{1+\log z}\]
D.	None of these
Answer» C. \[-\frac{1+\log y}{1+\log z}\]

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If \[{{x}^{x}}{{y}^{y}}{{z}^{z}}=c\], then \[\frac{\partial z}{\partial x}=\] [EAMCET 1999]

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