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Mathematics
Problem
State the value of
(
f
−
1
)
′
(
b
)
(f^{-1})'(b)
(
f
−
1
)
′
(
b
)
in terms of
f
′
(
a
)
f'(a)
f
′
(
a
)
when
f
f
f
is differentiable at
x
=
a
x=a
x
=
a
,
f
′
(
a
)
≠
0
f'(a)\neq0
f
′
(
a
)
=
0
, and
f
(
a
)
=
b
f(a)=b
f
(
a
)
=
b
.
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