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Q)

If $x^xy^yz^z$ = constant, then $\frac{dz}{dx}$ is equal to :


( A ) $-\frac{(1+ \log_e z)}{(1 + \log_e x)}$
( B ) $x^yy^y$
( C ) $-\frac{(1+ \log_e x)}{(1 + \log_e z)}$
( D ) $x^z y^y z$

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