A) \[\frac{x}{\log x}\]
B) \[\frac{\log x}{x}\]
C) \[{{(x\log x)}^{-1}}\]
D) none of these
Correct Answer: D
Solution :
We have,\[f(x)=\log x\] \[\Rightarrow \] \[f(\log x)=\log \log x\] On differentiating w.r.t. \[x\]on both sides, we get \[f(\log x)\frac{1}{x}=\frac{1}{\log x}.\frac{1}{x}\] \[\Rightarrow \] \[f(\log x)=\frac{1}{\log x}\]You need to login to perform this action.
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