Differentiation Question 267
Question: $ \frac{d}{dx}({\log _{e}}x)({\log _{a}}x)]= $
Options:
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} $
Show Answer
Answer:
Correct Answer: D
Solution:
$ \frac{d}{dx}( {\log _{e}}x.{\log _{a}}x )=\frac{d}{dx}[ \log x.\frac{\log x}{\log a} ] $
$ =\frac{2\log x}{x.\log a}=\frac{2{\log _{a}}x}{x} $ .
BETA
