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Mathematics
Problem
Explain why a point
x
=
c
x=c
x
=
c
at which
f
′
(
c
)
=
0
f'(c)=0
f
′
(
c
)
=
0
can be declared a local maximum of
f
f
f
by examining the sign of
f
′
(
x
)
f'(x)
f
′
(
x
)
on either side of
c
c
c
.
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