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. \[\frac{{{e}^{x}}}{\log x}\]