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Mathematics
Problem
Let
f
f
f
be a differentiable function with an inverse near the point
(
b
,
a
)
(b,a)
(
b
,
a
)
where
f
(
b
)
=
a
f(b)=a
f
(
b
)
=
a
. State the formula that gives
(
f
−
1
)
′
(
a
)
(f^{-1})'(a)
(
f
−
1
)
′
(
a
)
in terms of
f
′
(
b
)
f'(b)
f
′
(
b
)
.
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