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Byju's Answer
Standard XI
Mathematics
Disjoint
If y=ln x x, ...
Question
If
y
=
ln
x
x
, then
d
y
d
x
will be
A
1
−
ln
x
x
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B
1
+
ln
x
x
2
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C
1
−
ln
x
x
2
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D
ln
x
−
1
x
2
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Solution
The correct option is
C
1
−
ln
x
x
2
y
=
ln
x
x
d
y
d
x
=
x
d
d
x
(
ln
x
)
−
ln
x
d
d
x
(
x
)
x
2
d
y
d
x
=
1
−
ln
x
x
2