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Mathematics
Problem
Let
f
f
f
be a differentiable function with inverse
g
g
g
such that
f
(
a
)
=
b
f(a)=b
f
(
a
)
=
b
. State the necessary condition on
f
′
(
a
)
f'(a)
f
′
(
a
)
for
g
′
(
b
)
g'(b)
g
′
(
b
)
to exist.
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