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Mathematics
Mathematics
Problem
Suppose the graph of
k
′
(
x
)
k'(x)
k
′
(
x
)
has a local minimum at
x
=
4
x=4
x
=
4
and is differentiable there. Which statement about
k
′
′
(
4
)
k''(4)
k
′′
(
4
)
must be true? a)
k
′
′
(
4
)
>
0
k''(4)>0
k
′′
(
4
)
>
0
b)
k
′
′
(
4
)
=
0
k''(4)=0
k
′′
(
4
)
=
0
c)
k
′
′
(
4
)
k''(4)
k
′′
(
4
)
does not exist d)
k
′
′
(
4
)
<
0
k''(4)<0
k
′′
(
4
)
<
0
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