Limits, Continuity & Differentiability · JEE Main previous year questions

2009 1 question

1. Q112009 · 27 Apr 2009 · Shift 1

   Let $f(x)=x|x|$ and $g(x)=\sin x$. Statement-1: gof is differentiable at $x=0$ and its derivative is continuous at that point. Statement-2: gof is twice differentiable at $x=0$.

   1. A.Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
   2. B.Statement-1 is true, Statement-2 is false
   3. C.Statement-1 is false, Statement-2 is true
   4. D.Statement-1 is true, Statement-2 is true Statement-2 is a correct explanation for Statement-1
   Show answer

   Answer: B