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Mathematics
Problem
The differential coefficient of
f
(
log
e
x
)
f(\log_e x)
f
(
lo
g
e
x
)
with respect to
x
x
x
, where
f
(
x
)
=
log
e
x
f(x) = \log_e x
f
(
x
)
=
lo
g
e
x
, is (a)
x
log
e
x
\frac{x}{\log_e x}
l
o
g
e
x
x
(b)
1
x
log
e
x
\frac{1}{x} \log_e x
x
1
lo
g
e
x
(c)
1
x
log
e
x
\frac{1}{x \log_e x}
x
l
o
g
e
x
1
(d) none of these
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