If \[f(x)={{\log }_{x}}(\log x),\]then \[f'(x)\]at \[x=e\]is [IIT 1985; RPET 2000; MP PET 2000; Karnataka CET 2002; Pb. CET 2002]

If \[f(x)={{\log }_{x}}(\log x),\]then \[f'(x)\]at \[x=e\]is [IIT 1985

1.	If \[f(x)={{\log }_{x}}(\log x),\]then \[f'(x)\]at \[x=e\]is [IIT 1985; RPET 2000; MP PET 2000; Karnataka CET 2002; Pb. CET 2002]
A.	e
B.	\[\frac{1}{e}\]
C.	1
D.	None of these
Answer» C. 1