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Mathematics
Mathematics
Problem
At a stationary point
x
=
c
x=c
x
=
c
of a twice–differentiable function
f
f
f
, which one of the following conditions guarantees that
f
f
f
attains a local maximum at
c
c
c
? a)
f
′
′
(
c
)
>
0
f''(c)>0
f
′′
(
c
)
>
0
b)
f
′
′
(
c
)
<
0
f''(c)<0
f
′′
(
c
)
<
0
c)
f
′
′
(
c
)
=
0
f''(c)=0
f
′′
(
c
)
=
0
d)
f
′
′
(
c
)
≥
0
f''(c)\ge 0
f
′′
(
c
)
≥
0
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