ddxsin−1(x)=11−x2\frac{d}{dx} \sin^{-1}{(x)}=\frac{1}{\sqrt{1-{x}^{2}}}dxdsin−1(x)=1−x21
ddxcos−1(x)=−11−x2\frac{d}{dx} \cos^{-1}{(x)}=-\frac{1}{\sqrt{1-{x}^{2}}}dxdcos−1(x)=−1−x21
ddxtan−1(x)=11+x2\frac{d}{dx} \tan^{-1}{(x)}=\frac{1}{1+{x}^{2}}dxdtan−1(x)=1+x21
ddxcsc−1(x)=−1∣x∣1−x2\frac{d}{dx} \csc^{-1}{(x)}=-\frac{1}{|x|\sqrt{1-{x}^{2}}}dxdcsc−1(x)=−∣x∣1−x21
ddxsec−1(x)=1∣x∣1−x2\frac{d}{dx} \sec^{-1}{(x)}=\frac{1}{|x|\sqrt{1-{x}^{2}}}dxdsec−1(x)=∣x∣1−x21
ddxcot−1(x)=−11+x2\frac{d}{dx} \cot^{-1}{(x)}=-\frac{1}{1+{x}^{2}}dxdcot−1(x)=−1+x21
日本語
三角関数の逆数の微分