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Mathematics
Problem
Which of the following correctly expresses the derivative of the inverse of a differentiable function
f
f
f
at the point
b
=
f
(
a
)
b=f(a)
b
=
f
(
a
)
? a)
f
′
(
a
)
f'(a)
f
′
(
a
)
b)
1
f
′
(
b
)
\dfrac{1}{f'(b)}
f
′
(
b
)
1
c)
1
f
′
(
a
)
\dfrac{1}{f'(a)}
f
′
(
a
)
1
d)
1
(
f
′
(
a
)
)
2
\dfrac{1}{(f'(a))^{2}}
(
f
′
(
a
)
)
2
1
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