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Mathematics
Mathematics
Problem
The derivative of a function
f
f
f
is given by
f
′
(
x
)
=
(
x
−
4
)
(
x
+
1
)
2
(
x
−
2
)
f'(x)=(x-4)(x+1)^{2}(x-2)
f
′
(
x
)
=
(
x
−
4
)
(
x
+
1
)
2
(
x
−
2
)
. Which of the following lists all
x
x
x
-values at which
f
f
f
has a local maximum? a)
x
=
4
x=4
x
=
4
only b)
x
=
2
x=2
x
=
2
only c)
x
=
−
1
x=-1
x
=
−
1
only d)
x
=
2
and
x
=
4
x=2 \text{ and } x=4
x
=
2
and
x
=
4
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