Derivatives

ddxarcsin⁡(x)=11−x2\frac{\mathrm{d}}{\mathrm{d}x}\arcsin(x) = \frac{1}{\sqrt{1 - x^2}}
ddxarccos⁡(x)=−11−x2\frac{\mathrm{d}}{\mathrm{d}x}\arccos(x) = \frac{-1}{\sqrt{1 - x^2}}
ddxarctan⁡(x)=11+x2\frac{\mathrm{d}}{\mathrm{d}x}\arctan(x) = \frac{1}{1 + x^2}