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Mathematics
Mathematics
Problem
The derivative of a twice-differentiable function
f
f
f
is
f
′
(
x
)
=
12
x
2
−
24
x
f'(x)=12x^{2}-24x
f
′
(
x
)
=
12
x
2
−
24
x
. Let
F
F
F
be an antiderivative of
f
f
f
with
F
(
0
)
=
0
F(0)=0
F
(
0
)
=
0
. On which interval is
F
F
F
concave down? a)
(
−
∞
,
0
)
∪
(
2
,
∞
)
(-\infty,0)\cup(2,\infty)
(
−
∞
,
0
)
∪
(
2
,
∞
)
b)
(
0
,
2
)
(0,2)
(
0
,
2
)
c)
(
−
∞
,
0
)
(-\infty,0)
(
−
∞
,
0
)
d)
(
−
∞
,
2
)
(-\infty,2)
(
−
∞
,
2
)
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