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Mathematics
Mathematics
Problem
If function
f
(
x
)
=
x
2
+
e
x
/
2
f(x) = x^2 + e^{x/2}
f
(
x
)
=
x
2
+
e
x
/2
and
g
(
x
)
=
f
−
1
(
x
)
g(x) = f^{-1}(x)
g
(
x
)
=
f
−
1
(
x
)
, then the value of
g
′
(
1
)
g'(1)
g
′
(
1
)
is
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