Inverse Trig Function Derivatives

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6 Terms

1
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\frac{1}{1-x²}

\frac{d}{dx}\sin^{-1}(x)

2
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-\frac{1}{1-x²}

\frac{d}{dx}\cos^{-1}(x)

3
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\frac{1}{1+x²}

\frac{d}{dx}\tan^{-1}(x)

4
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-\frac{1}{1+x²}

\frac{d}{dx}\cot^{-1}(x)

5
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\frac{1}{|x|\sqrt{x²-1}}

\frac{d}{dx}\sec^{-1}(x)

6
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-\frac{1}{|x|\sqrt{x²-1}}

\frac{d}{dx}\csc^{-1}(x)