Limit, Continuity and Differentiability: JEE Main 2009 Mathematics question

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