JEE Main 2006Annual, Paper 1MathematicsEasyLimit, Continuity and Differentiability420× since 2002The set of points where f(x)=x1+∣x∣f\left( x \right) = {x \over {1 + \left| x \right|}}f(x)=1+∣x∣x is differentiable isAOption A. (−∞,0)∪(0,∞)\left( { - \infty ,0} \right) \cup \left( {0,\infty } \right)(−∞,0)∪(0,∞)BOption B. (−∞,1)∪(−1,∞)\left( { - \infty ,1} \right) \cup \left( { - 1,\infty } \right)(−∞,1)∪(−1,∞)COption C. (−∞,∞)\left( { - \infty ,\infty } \right)(−∞,∞)DOption D. (0,∞)\left( {0,\infty } \right)(0,∞)CheckSkip · show solution
