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Mathematics
Mathematics
Problem
Let
f
f
f
be continuous on
[
0
,
4
]
[0,4]
[
0
,
4
]
and differentiable on
(
0
,
4
)
(0,4)
(
0
,
4
)
with
f
′
(
x
)
=
(
x
−
2
)
(
x
+
1
)
.
f'(x)=(x-2)(x+1).
f
′
(
x
)
=
(
x
−
2
)
(
x
+
1
)
.
At which value of
x
x
x
does
f
f
f
attain its absolute minimum on
[
0
,
4
]
[0,4]
[
0
,
4
]
? a)
x
=
0
x=0
x
=
0
b)
x
=
2
x=2
x
=
2
c)
x
=
4
x=4
x
=
4
d)
x
=
−
1
x=-1
x
=
−
1
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