If \[y={{\log }_{10}}x+{{\log }_{x}}10+{{\log }_{x}}x+{{\log }_{10}}10,\]then \[\frac{dy}{dx}=\]

• A. \[\frac{1}{x{{\log }_{e}}10}-\frac{{{\log }_{e}}10}{x{{({{\log }_{e}}x)}^{2}}}\]
• B. \[\frac{1}{x{{\log }_{e}}10}-\frac{1}{x{{\log }_{10}}e}\]
• C. \[\frac{1}{x{{\log }_{e}}10}-\frac{{{\log }_{e}}10}{x{{({{\log }_{e}}x)}^{2}}}\]
• D. None of these