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\frac{d}{dx}\left(\arcsin u\right)
\frac{1}{\sqrt{1-u^2}}\cdot u^{\prime}
\frac{d}{dx}\left(\arccos u\right)
-\frac{1}{\sqrt{1-u^2}}\cdot u^{\prime}
\frac{d}{dx}\left(\arctan u\right)
\frac{1}{1+u^2}\cdot u^{\prime}
\frac{d}{dx}\left(\operatorname{arcsec}u\right)
\frac{1}{\left\vert u\right\vert\sqrt{u^2-1}}\cdot u^{\prime}