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Mathematics
Mathematics
Problem
Identify the general relationship between
(
f
−
1
)
′
(
x
)
(f^{-1})'(x)
(
f
−
1
)
′
(
x
)
and
f
′
(
f
−
1
(
x
)
)
f'(f^{-1}(x))
f
′
(
f
−
1
(
x
))
for a function
f
f
f
that is differentiable and has a differentiable inverse.
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