Inverse Cosine Function Properties (Jee Mains) | ExamDuo
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Application of Derivates
Medium
Inverse Cosine Function Properties
Let
f
(
x
)
=
x
cos
−
1
(
−
sin
|
x
|
)
,
x
∈
[
−
π
2
,
π
2
]
,
which of the following is true ?
Ask about this question
SELECT ONE OPTION
A
f' is decreasing in
(
−
π
2
,
0
)
and increasing in
(
0
,
π
2
)
B
f is not differentiable at x = 0
C
f
′
(
0
)
=
−
π
2
D
f' is increasing in
(
−
π
2
,
0
)
and decreasing in
(
0
,
π
2
)
Check