1.

If \[y={{e}^{x}}\log x\], then \[\frac{dy}{dx}\]is                                                            [SCRA 1996]

A.  \[\frac{{{e}^{x}}}{x}\]
B.  \[{{e}^{x}}\left( \frac{1}{x}+x\log x \right)\]
C.  \[{{e}^{x}}\left( \frac{1}{x}+\log x \right)\]
D.  \[\frac{{{e}^{x}}}{\log x}\]
Answer» D.  \[\frac{{{e}^{x}}}{\log x}\]


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