A) \[\frac{{{\log }_{a}}x}{x}\]
B) \[\frac{{{\log }_{x}}x}{x}\]
C) \[\frac{2\log x}{x}\]
D) \[\frac{2{{\log }_{a}}x}{x}\]
Correct Answer: D
Solution :
\[\frac{d}{dx}\left( {{\log }_{e}}x.{{\log }_{a}}x \right)=\frac{d}{dx}\left[ \log x.\frac{\log x}{\log a} \right]\] \[=\frac{2\log x}{x.\log a}=\frac{2{{\log }_{a}}x}{x}\].You need to login to perform this action.
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