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Mathematics
Problem
Suppose
f
f
f
is differentiable at
x
=
2
x=2
x
=
2
with
f
(
2
)
=
7
f(2)=7
f
(
2
)
=
7
and
f
′
(
2
)
=
0
f'(2)=0
f
′
(
2
)
=
0
. Explain whether the inverse function
f
−
1
f^{-1}
f
−
1
is differentiable at
x
=
7
x=7
x
=
7
.
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