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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
x
3
−
3
x
f(x)=x^{3}-3x
f
(
x
)
=
x
3
−
3
x
and
g
(
x
)
=
ln
(
1
+
x
2
)
g(x)=\ln\bigl(1+x^{2}\bigr)
g
(
x
)
=
ln
(
1
+
x
2
)
. On which of the following intervals is the graph of
f
f
f
concave down while the graph of
g
g
g
is concave up? a)
(
0
,
1
)
(0,1)
(
0
,
1
)
b)
(
−
∞
,
−
1
)
(-\infty,-1)
(
−
∞
,
−
1
)
c)
(
−
1
,
0
)
(-1,0)
(
−
1
,
0
)
d)
(
−
1
,
1
)
(-1,1)
(
−
1
,
1
)
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