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Byju's Answer
Standard XII
Mathematics
Stationary Point
The number of...
Question
The number of stationary points of
f
(
x
)
=
s
i
n
x
in
[
0
,
2
π
]
are
A
1
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B
2
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C
3
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D
4
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Solution
The correct option is
D
2
f
′
(
x
)
=
c
o
s
x
f
′
(
x
)
=
0
when
x
=
π
2
,
3
π
2
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0
Similar questions
Q.
The number of stationary points of
f
(
x
)
=
cos
x
in
[
0
,
2
π
]
are
Q.
Let
f
(
x
)
=
sin
x
+
|
cos
x
|
−
∣
∣
s
i
n
x
−
|
c
o
s
x
|
∣
∣
,
x
ϵ
(
0
,
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π
)
then the number of points of non-differentiability of
f
(
x
)
is
Q.
The total number of points of non-differentiability of
f
(
x
)
=
min
{
|
sin
x
|
,
|
cos
x
|
,
1
4
}
in
(
0
,
2
π
)
is -
Q.
Find the number of points where
f
(
x
)
=
[
sin
x
+
cos
x
]
(where
[
]
denotes the greatest integer function),
x
∈
(
0
,
2
π
)
Q.
The number of points where
f
(
x
)
=
[
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x
+
cos
x
]
(where [] denotes the greatest integer function),
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∈
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0
,
2
π
)
is not continuous is-
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