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Mathematics
Mathematics
Problem
The function
f
(
x
)
=
e
x
+
x
f(x) = e^x + x
f
(
x
)
=
e
x
+
x
, being differentiable and one to one, has a differentiable inverse
f
−
1
(
x
)
f^{-1}(x)
f
−
1
(
x
)
. Find
d
d
x
(
f
−
1
(
x
)
)
\frac{d}{dx}(f^{-1}(x))
d
x
d
(
f
−
1
(
x
))
at point
f
(
log
2
)
f(\log 2)
f
(
lo
g
2
)
.
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