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Mathematics
Mathematics
Problem
The second derivative of a continuous function
g
g
g
is
g
′
′
(
x
)
=
(
x
−
4
)
(
x
+
1
)
g''(x)=(x-4)(x+1)
g
′′
(
x
)
=
(
x
−
4
)
(
x
+
1
)
. Which of the following
x
x
x
-values is an inflection point of
g
g
g
? a)
x
=
−
1
x=-1
x
=
−
1
only b)
x
=
3
2
x=\dfrac{3}{2}
x
=
2
3
only c)
x
=
−
1
x=-1
x
=
−
1
and
x
=
4
x=4
x
=
4
d) Neither
x
=
−
1
x=-1
x
=
−
1
nor
x
=
4
x=4
x
=
4
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