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Byju's Answer
Standard XI
Mathematics
Derivative
If x=ey+ey+ey...
Question
If x =
e
y
+
e
y
+
e
y
+
e
y
+
.
.
.
∞
, then
d
y
d
x
is
A
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B
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C
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D
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Solution
The correct option is
B
x =
e
y
+
x
⇒
l
o
g
e
x
= y + x
∴
1
x
=
d
y
d
x
+
1
⇒
d
y
d
x
=
1
−
x
x