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Limits Continuity and Differentiability question

2006 · Shift 0 · Q55

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JEE Main
Mathematics
Limits Continuity and Differentiability
2006 · Shift 0 · Q55

Limits Continuity and Differentiability question

2006 · Shift 0 · Q55

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

The set of points where

f\left( x \right) = {x \over {1 + \left| x \right|}}

is differentiable is

A
$\left( { - \infty ,0} \right) \cup \left( {0,\infty } \right)$
B
$\left( { - \infty ,1} \right) \cup \left( { - 1,\infty } \right)$
C
$\left( { - \infty ,\infty } \right)$
D
$\left( {0,\infty } \right)$

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