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Mathematics
Problem
In one sentence, explain why a function
f
f
f
must have a local maximum at
x
=
c
x=c
x
=
c
if
f
′
(
c
)
=
0
f'(c)=0
f
′
(
c
)
=
0
and
f
′
′
(
c
)
<
0
f''(c) < 0
f
′′
(
c
)
<
0
.
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