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12.A: Table of Derivatives
https://math.libretexts.org/Courses/Mission_College/MAT_3B_Calculus_II_(Kravets)/12%3A_Appendices/12.A%3A_Table_of_Derivatives
32. $\quad \dfrac{d}{dx}\left(\tanh^{-1}x\right)=\dfrac{1}{1-x^2}\quad (|x|<1)$ 33. $\quad \dfrac{d}{dx}\left(\text{sech}^{-1}\,x\right)=\dfrac{-1}{x\sqrt{1-x^2}}\quad (0<x<1)$ 34. \(\quad \dfrac{...32. $\quad \dfrac{d}{dx}\left(\tanh^{-1}x\right)=\dfrac{1}{1-x^2}\quad (|x|<1)$ 33. $\quad \dfrac{d}{dx}\left(\text{sech}^{-1}\,x\right)=\dfrac{-1}{x\sqrt{1-x^2}}\quad (0<x<1)$ 34. $\quad \dfrac{d}{dx}\left(\cosh^{-1}x\right)=\dfrac{1}{\sqrt{x^2-1}}\quad (x>1)$ 35. $\quad \dfrac{d}{dx}\left(\coth^{-1}x\right)=\dfrac{1}{1-x^2}\quad (|x|>1)$ 36. $\quad \dfrac{d}{dx}\left(\text{csch}^{−1}\,x\right)=\dfrac{-1}{|x|\sqrt{1+x^2}}\quad (x≠0)$

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