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Byju's Answer
Standard XII
Mathematics
Variable Separable Method
If y = - 1...
Question
If
y
=
sec
−
1
(
√
x
+
1
√
x
−
1
)
+
sin
−
1
(
√
x
−
1
√
x
+
1
)
, then
d
y
d
x
=
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Solution
y
=
sec
−
1
(
√
x
+
1
√
x
−
1
)
+
sin
−
1
(
√
x
−
1
√
x
+
1
)
y
=
cos
−
1
(
√
x
−
1
√
x
+
1
)
+
sin
−
1
(
√
x
−
1
√
x
+
1
)
y
=
π
2
∴
d
y
d
x
=
d
d
x
(
π
2
)
=
0
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