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Byju's Answer
Standard XII
Mathematics
Local Maxima
Let fx=4-x2...
Question
Let
f
(
x
)
=
4
−
x
2
then
f
(
x
)
has greatest value at
x
=
?
A
1
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B
-1
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C
0
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D
2
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Solution
The correct option is
C
0
f
(
x
)
=
4
−
x
2
The max value of
f
(
x
)
is given as
f
′
(
x
)
=
0
f
′
(
x
)
=
−
2
x
=
0
x
=
0
So it has greatest value at
x
=
0
Suggest Corrections
0
Similar questions
Q.
Let
f
(
x
)
=
x
2
+
2
[
x
]
,
1
≤
x
≤
3
,
where [.] denotes greatest integer function, then incorrect statement is
Q.
Let
f
(
x
)
=
(
x
2
−
1
)
n
(
x
2
+
x
−
1
)
then
f
(
x
)
has local extremum at
x
=
1
when
Q.
Let
f
(
x
)
=
x
2
+
3
[
x
+
1
]
,
0
≤
x
≤
2
, where
[
.
]
is the greatest integer function. Then the sum of the least value and the greatest value of
f
(
x
)
is
Q.
Let
f
(
x
)
=
x
2
+
3
[
x
+
1
]
,
0
≤
x
≤
2
, where
[
.
]
is the greatest integer function. Then the sum of the least value and the greatest value of
f
(
x
)
is
Q.
Let
f
(
x
)
=
⎧
⎨
⎩
b
3
+
b
−
2
b
2
−
2
b
2
+
5
b
+
6
−
x
2
;
0
≤
x
<
1
3
x
−
4
;
1
≤
x
≤
3
where
b
∈
R
. If
f
(
x
)
has minimum value at
x
=
1
,
then the least integral value of
b
is
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