Cheat Sheet

$$\frac{d}{dx}(\arcsin x)=\frac{1}{\sqrt{1-x^2}}$$ $$\frac{d}{dx}(\arccos x)=-\frac{1}{\sqrt{1-x^2}}$$ $$\frac{d}{dx}(\arctan x)=\frac{1}{1+x^2}$$ $$\frac{d}{dx}(\text{arccot}x)=-\frac{1}{1+x^2}$$ $$\frac{d}{dx}(\text{arcsec}x)=\frac{1}{|x|\sqrt{x^2-1}}$$ $$\frac{d}{dx}(\text{arccsc}x)=-\frac{1}{|x|\sqrt{x^2-1}}$$