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\frac{d}{dx}\left(\sin^{-1}\left(x\right)\right)
\frac{1}{\sqrt{1-x^{2}}}
\frac{d}{dx}\left(\cos^{-1}\left(x\right)\right)
\frac{-1}{\sqrt{1-x^{2}}}
\frac{d}{dx}\left(\tan^{-1}\left(x\right)\right)
\frac{1}{1+x^{2}}
\frac{d}{dx}\left(\sec^{-1}\left(x\right)\right)
\frac{1}{x\sqrt{x^{2}-1}}