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:

Leave a comment

Close
faculty

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now