A) \[\log x\]
B) \[x\]
C) \[\frac{1}{\log x}\]
D) \[{{\log }^{n}}x\]
Correct Answer: D
Solution :
Given that, \[y={{\log }^{n}}x\] \[\therefore \]\[x\log x{{\log }^{2}}x{{\log }^{3}}x...{{\log }^{n-1}}x{{\log }^{n}}x\times \frac{dy}{dx}\] \[=x\log x{{\log }^{2}}x{{\log }^{3}}x...{{\log }^{n-1}}x{{\log }^{n}}x\] \[\times \frac{1}{x\log x{{\log }^{2}}x{{\log }^{3}}x...{{\log }^{n-1}}x}\] \[={{\log }^{n}}x\]
You need to login to perform this action.
You will be redirected in
3 sec
