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Byju's Answer
Standard XII
Mathematics
Implicit Differentiation
If y=√sin x+√...
Question
If
y
=
√
s
i
n
x
+
√
s
i
n
x
+
√
s
i
n
x
+
.
.
.
.
∞
,then
d
y
d
x
is equal to
A
2
y
−
1
c
o
s
x
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B
c
o
s
x
2
y
−
1
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C
2
x
−
1
c
o
s
x
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D
c
o
s
x
2
x
−
1
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Solution
The correct option is
B
c
o
s
x
2
y
−
1
y
=
√
s
i
n
x
+
y
⇒
y
2
−
y
=
s
i
n
x
∴
(
2
y
−
1
)
d
y
d
x
=
c
o
s
x
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1
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∞
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s
i
n
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Q.
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.
.
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.
.
.
∞
then prove that
d
y
d
x
=
−
sin
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2
y
−
1
)
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Q.
If
y
=
√
sin
x
+
√
sin
x
+
√
sin
x
+
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.
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.
.
.
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