Derivative Of Tan 1 U

$8. \dfrac{d}{dx}(\cos h^{-1}(u)) = \pm \dfrac{1}{\sqrt{y^2- 1}} \dfrac{du}{dx} \\[3mm] 9. \dfrac{d}{dx}(\tan h^{-1}(u)) = \pm \dfrac{1}{\sqrt{u^2- 1}}\dfrac{du}{dx} (-1 < u <1) \\[3mm] 10. \dfrac{d}{dx}(\cot h^{-1}(u)) = \dfrac{1}{1- u^2}\dfrac{du}{dx} (u >1 \,or u< -1) \\[3mm] 11. \dfrac{d}{dx}(\sec h^{-1}(u)) = \pm \dfrac{1}{-|u| \sqrt{1- u^2}} \dfrac{dy}{dx} \\[3mm] 12. \dfrac{d}{dx}(\csc h^{-1}(u)) = \pm \dfrac{1}{-|u| \sqrt{1 + u^2}} \dfrac{du}{dx}$