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arcsin(x)
\frac{x^{\prime}}{\sqrt{1-x^2}}
arctan(x)
\frac{x^{\prime}}{1+x^2}
arcsec(x)
\frac{x^{\prime}}{\left\vert x\right\vert\sqrt{x^2-1}}
\frac{-x^{\prime}}{\sqrt{1-x^2}}
\frac{d}{\differentialD x}arc\cot\left(x\right)
-\frac{x^{\prime}}{1+x^2}
\frac{d}{\differentialD x}\operatorname{arccsc}\left(x\right)
\frac{-x^{\prime}}{\left\vert x\right\vert\sqrt{x^2-1}}