图像

\(f(x)=\arcsin(x)\)

\(f(x)=\arccos(x)\)

\(f(x)=\arctan(x)\)

\(f(x)=\operatorname{arccot}(x)\)

\(f(x)=\operatorname{arcsec}(x)\)

\(f(x)=\operatorname{arccsc}(x)\)

导数

• \(\arcsin^\prime(x)=\dfrac{1}{\sqrt{1-x^2}}\)

• \(\arccos^\prime(x)=-\dfrac{1}{\sqrt{1-x^2}}\)

• \(\arctan^\prime(x)=\dfrac{1}{1+x^2}\)

• \(\operatorname{arccot}^\prime(x)=-\dfrac{1}{1+x^2}\)

• \(\operatorname{arcsec}^\prime(x)=\dfrac{1}{|x|\sqrt{x^2-1}}\)

• \(\operatorname{arccsc}^\prime(x)=-\dfrac{1}{|x|\sqrt{x^2-1}}\)