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Mathematics
Problem
The function
f
(
x
)
=
e
x
+
x
f(x) = e^x + x
f
(
x
)
=
e
x
+
x
, being differentiable and one-one, has a differentiable inverse
f
−
1
(
x
)
f^{-1}(x)
f
−
1
(
x
)
. The value of
d
d
x
(
f
−
1
)
\frac{d}{dx}(f^{-1})
d
x
d
(
f
−
1
)
at the point
f
(
log
2
)
f(\log 2)
f
(
lo
g
2
)
is a.
1
ln
2
\frac{1}{\ln 2}
l
n
2
1
b.
1
3
\frac{1}{3}
3
1
c.
1
4
\frac{1}{4}
4
1
d. None of these
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