Differentiate `cos^(-1)(sinx)` with respect to `x :`

Explanation

Let `f(x)=\cos ^{-1}(\sin x)`



Differentiating `w \cdot r \cdot t \cdot x`
$$
\begin{aligned}
&f^{\prime}(x)=\frac{-1}{\sqrt{1-(\sin x)^{2}}} \times(\sin x)^{\prime} \\
&f^{\prime}(x)=\frac{-1}{\sqrt{1-\sin ^{2} x}} \times \cos x \\
&f^{\prime}(x)=\frac{-1}{\sqrt{\cos ^{2} x}} \times \cos x \\
...