Let f(x)=x|x|, g(x)=sin x and h(x)
Question:

Let $f(x)=x|x|, g(x)=\sin x$ and $h(x)=$ $(g o f)(x)$. Then

1. $h^{\prime}(x)$ is differentiable at $x=0$

2. $h^{\prime}(x)$ is continuous at $x=0$ but is not differentiable at $x=0$

3. $\mathrm{h}(\mathrm{x})$ is differentiable at $\mathrm{x}=0$ but $\mathrm{h}^{\prime}(\mathrm{x})$ is not continuous at $\mathrm{x}=0$

4. $\mathrm{h}(\mathrm{x})$ is not differentiable at $\mathrm{x}=0$

Correct Option: 2,

Solution: