If \[y={{e}^{x+{{e}^{x+{{e}^{x+....\infty }}}}}}\], then \[\frac{dy}{dx}=\] [AISSE 1990; UPSEAT 2002; DCE 2002]

If \[y={{e}^{x+{{e}^{x+{{e}^{x+....\infty }}}}}}\], then \[\frac{dy}{d

1.	If \[y={{e}^{x+{{e}^{x+{{e}^{x+....\infty }}}}}}\], then \[\frac{dy}{dx}=\] [AISSE 1990; UPSEAT 2002; DCE 2002]
A.	\[\frac{y}{1-y}\]
B.	\[\frac{1}{1-y}\]
C.	\[\frac{y}{1+y}\]
D.	\[\frac{y}{y-1}\]
Answer» B. \[\frac{1}{1-y}\]

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If \[y={{e}^{x+{{e}^{x+{{e}^{x+....\infty }}}}}}\], then \[\frac{dy}{dx}=\] [AISSE 1990; UPSEAT 2002; DCE 2002]

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