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Mathematics
Mathematics
Problem
If the function
f
(
x
)
=
−
4
e
1
−
x
2
+
1
+
x
+
x
2
2
+
x
3
3
f(x)=-4e^{\frac{1-x}{2}}+1+x+\frac{x^2}{2}+\frac{x^3}{3}
f
(
x
)
=
−
4
e
2
1
−
x
+
1
+
x
+
2
x
2
+
3
x
3
and
g
(
x
)
=
f
−
1
(
x
)
g(x)=f^{-1}(x)
g
(
x
)
=
f
−
1
(
x
)
, then the reciprocal of
g
′
(
−
7
6
)
g'\left(\frac{-7}{6}\right)
g
′
(
6
−
7
)
is.....
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