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Mathematics
Problem
Suppose a twice-differentiable function
f
f
f
satisfies
f
′
(
5
)
=
0
f'(5)=0
f
′
(
5
)
=
0
and
f
′
′
(
5
)
=
7
f''(5)=7
f
′′
(
5
)
=
7
. What type of critical point does
f
f
f
have at
x
=
5
x=5
x
=
5
?
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