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Mathematics
Problem
Consider
g
(
x
)
=
3
x
4
−
8
x
3
−
6
x
2
+
24
x
g(x)=3x^4-8x^3-6x^2+24x
g
(
x
)
=
3
x
4
−
8
x
3
−
6
x
2
+
24
x
, whose stationary points are at
x
=
−
1
,
1
x=-1,\,1
x
=
−
1
,
1
and
x
=
2
x=2
x
=
2
. Arrange these three points in increasing order of the function values
g
(
x
)
g(x)
g
(
x
)
. a)
x
=
1
,
−
1
,
2
x=1,\,-1,\,2
x
=
1
,
−
1
,
2
b)
x
=
−
1
,
2
,
1
x=-1,\,2,\,1
x
=
−
1
,
2
,
1
c)
x
=
−
1
,
1
,
2
x=-1,\,1,\,2
x
=
−
1
,
1
,
2
d)
x
=
2
,
−
1
,
1
x=2,\,-1,\,1
x
=
2
,
−
1
,
1
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