If \[{{x}^{y}}={{e}^{x-y}}\], then \[\frac{dy}{dx}=\] [MP PET 1987, 2004; MNR 1984; Roorkee 1954; BIT Ranchi 1991; RPET 2000]

\[\log x.{{[\log (ex)]}^{-2}}\]

If \[{{x}^{y}}={{e}^{x-y}}\], then \[\frac{dy}{dx}=\] �

1.	If \[{{x}^{y}}={{e}^{x-y}}\], then \[\frac{dy}{dx}=\] [MP PET 1987, 2004; MNR 1984; Roorkee 1954; BIT Ranchi 1991; RPET 2000]
A.	\[\log x.{{[\log (ex)]}^{-2}}\]
B.	\[\log x.{{[\log (ex)]}^{2}}\]
C.	\[\log x.{{(\log x)}^{2}}\]
D.	None of these
Answer» B. \[\log x.{{[\log (ex)]}^{2}}\]

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If \[{{x}^{y}}={{e}^{x-y}}\], then \[\frac{dy}{dx}=\] [MP PET 1987, 2004; MNR 1984; Roorkee 1954; BIT Ranchi 1991; RPET 2000]

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