differentiation

Question: If $y = {\log _{10}}x + {\log _x}10 + {\log _x}x + {\log _{10}}10,$then $\frac{{dy}}{{dx}} = $



1) $\frac{1}{{x{{\log }_e}10}} - \frac{{{{\log }_e}10}}{{x{{({{\log }_e}x)}^2}}}$
2) $\frac{1}{{x{{\log }_e}10}} - \frac{1}{{x{{\log }_{10}}e}}$
3) $\frac{1}{{x{{\log }_e}10}} - \frac{{{{\log }_e}10}}{{x{{({{\log }_e}x)}^2}}}$
4) None of these
Solution: Explanation: Explanation
standard-differentiation

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