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Mathematics
Mathematics
Problem
The function
h
h
h
is defined implicitly for
x
x
x
near
1
1
1
by the equation
x
e
h
(
x
)
+
ln
(
h
(
x
)
)
=
3
x e^{h(x)}+\ln(h(x)) = 3
x
e
h
(
x
)
+
ln
(
h
(
x
))
=
3
. Given that
h
(
1
)
=
1
h(1)=1
h
(
1
)
=
1
, compute
(
h
−
1
)
′
(
1
)
(h^{-1})'(1)
(
h
−
1
)
′
(
1
)
.
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