If $x = {e^{y + {e^y} + ....\infty }};\,\,\,x > 0,$ then $\frac{{dy}}{{dx}}$ equals

JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

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Analyzing +4 | -1

x = {e^{y + {e^y} + ....\infty }};\,\,\,x > 0,

then

\frac{{dy}}{{dx}}

equals

View answer and explanation

Correct option: C

\frac{{1 - x}}{x}

Option C (

\frac{{1 - x}}{x}

) is correct because it is the derivative of y with respect to x after taking the logarithm and differentiating.

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