At \(x=\frac{\pi^2}{4}, \frac{d}{d x}\left(\tan ^{-1}(\cos \sqrt{x})+\sec ^{-1}\left(e^x\right)\right)=\)

\(\frac{1}{\sqrt{e^{\frac{-2}{2}}-1}}-\frac{1}{\pi}\)

\(-\frac{1}{\pi }+\frac{1}{\sqrt{{e}^{\frac{{\pi }^{2}}{2}}-1}}\)

\(\frac{1}{\sqrt{e^{z^2}+e^{\frac{\pi^2}{2}}}}+\frac{2}{\pi} \cot \left(\frac{\pi}{2}\right)\)

\(\frac{1}{\sqrt{e^z}}+\frac{1}{\pi}\)