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\frac{1}{1-x²}
\frac{d}{dx}\sin^{-1}(x)
-\frac{1}{1-x²}
\frac{d}{dx}\cos^{-1}(x)
\frac{1}{1+x²}
\frac{d}{dx}\tan^{-1}(x)
-\frac{1}{1+x²}
\frac{d}{dx}\cot^{-1}(x)
\frac{1}{|x|\sqrt{x²-1}}
\frac{d}{dx}\sec^{-1}(x)
-\frac{1}{|x|\sqrt{x²-1}}
\frac{d}{dx}\csc^{-1}(x)