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Differentiation question

2004 · Shift 0 · Q77

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PYQ Library
JEE Main
Mathematics
Differentiation
2004 · Shift 0 · Q77

Differentiation question

2004 · Shift 0 · Q77

JEE MainMathematicsDifferentiationMCQ+4 / −1

If

x = {e^{y + {e^y} + {e^{y + .....\infty }}}}

,

x \gt 0,

then

{{{dy} \over {dx}}}

is

A
${{1 + x} \over x}$
B
${1 \over x}$
C
${{1 - x} \over x}$
D
${x \over {1 + x}}$

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