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Mathematics
Problem
Let
f
f
f
be differentiable at
x
=
2
x = 2
x
=
2
with
f
(
2
)
=
7
f(2)=7
f
(
2
)
=
7
and
f
′
(
2
)
=
−
3
f'(2) = -3
f
′
(
2
)
=
−
3
. Which of the following gives the value of
(
f
−
1
)
′
(
7
)
(f^{-1})'(7)
(
f
−
1
)
′
(
7
)
? a)
−
1
3
-\dfrac13
−
3
1
b)
−
3
-3
−
3
c)
1
3
\dfrac13
3
1
d)
1
7
\dfrac17
7
1
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