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Mathematics
Problem
Let
f
f
f
be differentiable and invertible with
f
(
3
)
=
2
f(3)=2
f
(
3
)
=
2
and
f
′
(
3
)
=
−
4
f'(3)=-4
f
′
(
3
)
=
−
4
. Consider the function
p
(
x
)
=
x
2
ln
(
f
−
1
(
x
)
)
p(x)=x^{2}\,\ln\bigl(f^{-1}(x)\bigr)
p
(
x
)
=
x
2
ln
(
f
−
1
(
x
)
)
. Compute
p
′
(
2
)
p'(2)
p
′
(
2
)
.
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