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Mathematics
Problem
Explain how the sign of
f
′
′
(
c
)
f''(c)
f
′′
(
c
)
determines whether
f
f
f
has a local maximum or a local minimum at an interior point
x
=
c
x=c
x
=
c
where
f
′
(
c
)
=
0
f'(c)=0
f
′
(
c
)
=
0
.
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