If $f\left(x\right)=\{s\in \left({\cos }^{-1}x\right)+\cos \left({\sin }^{-1}x\right),x\le 0s\in \left({\cos }^{-1}x\right)-\cos \left({\sin }^{-1}x,x>0\right)$ . Then at $x=0$$f\left(x\right)$ is continuous and differentiable $f\left(x\right)$ is continuous but not differentiable $f\left(x\right)$ not continuous but differentiable $f\left(x\right)$ is neither continuous nor differentiable

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