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If y = e^(x) + e^(x + ...oo) " then " (d...

If `y = e^(x) + e^(x + ...oo) " then " (dy)/(dx)=` ?

A

`(1)/((1-y))`

B

`(y)/((1 -y))`

C

`(y)/((y -1))`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`y = e^(x + y) rArr x + y = log y rArr 1 + (dy)/(dx) = (1)/(y) .(dy)/(dx)`
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