A) \[\log x\]
B) \[x\]
C) \[\frac{1}{\log x}\]
D) \[1\]
E) \[{{\log }^{n}}x\]
Correct Answer: E
Solution :
\[y={{\log }^{n}}x\] \[\therefore \] \[x\log x{{\log }^{2}}x{{\log }^{3}}x....{{\log }^{n-1}}x{{\log }^{n}}x\frac{dy}{dx}\] \[=\frac{x\log x{{\log }^{2}}x{{\log }^{3}}x.....{{\log }^{n-1}}x{{\log }^{n}}x.1}{x\log x{{\log }^{2}}x{{\log }^{3}}x......{{\log }^{n-1}}x}\] \[={{\log }^{n}}x\]You need to login to perform this action.
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