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Mathematics
Mathematics
Problem
For a twice-differentiable function
f
f
f
, which of the following must occur at
x
=
c
x=c
x
=
c
if the graph of
f
f
f
has a point of inflection at
(
c
,
f
(
c
)
)
(c,f(c))
(
c
,
f
(
c
))
? a)
f
(
c
)
=
0
f(c)=0
f
(
c
)
=
0
b)
f
′
f'
f
′
has a local maximum or minimum at
x
=
c
x=c
x
=
c
c)
f
′
′
(
c
)
>
0
f''(c)>0
f
′′
(
c
)
>
0
d)
f
′
(
c
)
=
0
f'(c)=0
f
′
(
c
)
=
0
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