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Byju's Answer
Standard XII
Mathematics
Logarithmic Differentiation
If y =1+1/ x ...
Question
If
y
=
1
+
1
x
+
1
x
2
+
1
x
3
+
.
.
.
.
.
∞
with
|
x
|
>
1
then
d
y
d
x
=
A
−
x
2
y
2
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B
y
2
x
2
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C
x
2
y
2
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D
−
y
2
x
2
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Solution
The correct option is
D
−
y
2
x
2
y
=
1
+
1
x
+
1
x
2
+
1
x
3
+
.
.
.
.
.
∞
y
=
1
1
−
1
x
=
x
x
−
1
d
y
d
x
=
(
x
−
1
)
−
x
(
x
−
1
)
2
=
−
1
(
x
−
1
)
2
×
x
2
x
2
d
y
d
x
=
−
y
2
x
2
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