A) \[\frac{2}{x}\]
B) \[\frac{2}{x{{\log }_{e}}10}\]
C) \[\frac{1}{x{{\log }_{e}}10}\]
D) \[\frac{1}{10x}\]
Correct Answer: B
Solution :
Given \[y={{\log }_{10}}{{x}^{2}}\] \[y=\frac{{{\log }_{e}}{{x}^{2}}}{{{\log }_{e}}10}\], \[\left( \because {{\log }_{a}}b=\frac{{{\log }_{e}}b}{{{\log }_{e}}a} \right)\] \[y=\frac{2{{\log }_{e}}x}{{{\log }_{e}}10}\], \[\therefore \frac{dy}{dx}=\frac{2}{x{{\log }_{e}}10}\].
You need to login to perform this action.
You will be redirected in
3 sec
