The function $y=\sin ^{-1}(\cos x)$ is not differentiable at ____

Question

Aicharya · Accepted Answer

Domain for $\sin ^{-1} x$ is, $x \in(-1,1)$ both values -1 and 1 are excluded Now, $\cos \pi=-1$ and $\cos 2 \pi=1$ Also, $\cos -2 \pi=1$ Hence, $\sin ^{-1}(\cos x)$ is non differentiable at $\pi, 2 \pi$ and $-2 \pi$.

The function \(y=\sin ^{-1}(\cos x)\) is not differentiable at ____

Solution