If \( x^{x} y^{y} z^{z}=c \), then \( \frac{\partial z}{\partial x}...
If \( x^{x} y^{y} z^{z}=c \), then \( \frac{\partial z}{\partial x} \) is equal to
\( \mathrm{P} \)
(A) \( \left(\frac{1+\log x}{1+\log z}\right) \)
(B) \( -\left(\frac{1+\log x}{1+\log z}\right) \)
(C) \( \left(\frac{1+\log z}{1+\log x}\right) \)
(D) None of these
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