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- https://math.libretexts.org/Courses/Coastline_College/Math_C180%3A_Calculus_I_(Nguyen)/06%3A_Appendices/6.03%3A_Table_of_Derivatives32. \(\quad \dfrac{d}{dx}\left(\text{arctanh}\, x\right)=\dfrac{1}{1-x^2}\quad (|x|<1)\) 33. \(\quad \dfrac{d}{dx}\left(\text{arcsech} \,x\right)=\dfrac{-1}{x\sqrt{1-x^2}}\quad (0<x<1)\) 34. \(\quad \...32. \(\quad \dfrac{d}{dx}\left(\text{arctanh}\, x\right)=\dfrac{1}{1-x^2}\quad (|x|<1)\) 33. \(\quad \dfrac{d}{dx}\left(\text{arcsech} \,x\right)=\dfrac{-1}{x\sqrt{1-x^2}}\quad (0<x<1)\) 34. \(\quad \dfrac{d}{dx}\left(\text{arccosh}\, x\right)=\dfrac{1}{\sqrt{x^2-1}}\quad (x>1)\) 35. \(\quad \dfrac{d}{dx}\left(\text{arccoth}\, x\right)=\dfrac{1}{1-x^2}\quad (|x|>1)\) 36. \(\quad \dfrac{d}{dx}\left(\text{arccsch}\,x\right)=\dfrac{-1}{|x|\sqrt{1+x^2}}\quad (x≠0)\)
- https://math.libretexts.org/Courses/Penn_State_University_Greater_Allegheny/Math_140%3A_Calculus_1_(Gaydos)/06%3A_Appendices/6.02%3A_Table_of_Derivatives32. \(\quad \dfrac{d}{dx}\left(\text{arctanh}\, x\right)=\dfrac{1}{1-x^2}\quad (|x|<1)\) 33. \(\quad \dfrac{d}{dx}\left(\text{arcsech} \,x\right)=\dfrac{-1}{x\sqrt{1-x^2}}\quad (0<x<1)\) 34. \(\quad \...32. \(\quad \dfrac{d}{dx}\left(\text{arctanh}\, x\right)=\dfrac{1}{1-x^2}\quad (|x|<1)\) 33. \(\quad \dfrac{d}{dx}\left(\text{arcsech} \,x\right)=\dfrac{-1}{x\sqrt{1-x^2}}\quad (0<x<1)\) 34. \(\quad \dfrac{d}{dx}\left(\text{arccosh}\, x\right)=\dfrac{1}{\sqrt{x^2-1}}\quad (x>1)\) 35. \(\quad \dfrac{d}{dx}\left(\text{arccoth}\, x\right)=\dfrac{1}{1-x^2}\quad (|x|>1)\) 36. \(\quad \dfrac{d}{dx}\left(\text{arccsch}\,x\right)=\dfrac{-1}{|x|\sqrt{1+x^2}}\quad (x≠0)\)
- https://math.libretexts.org/Courses/Coastline_College/Math_C180%3A_Calculus_I_(Everett)/06%3A_Appendices/6.03%3A_Table_of_Derivatives32. \(\quad \dfrac{d}{dx}\left(\text{arctanh}\, x\right)=\dfrac{1}{1-x^2}\quad (|x|<1)\) 33. \(\quad \dfrac{d}{dx}\left(\text{arcsech} \,x\right)=\dfrac{-1}{x\sqrt{1-x^2}}\quad (0<x<1)\) 34. \(\quad \...32. \(\quad \dfrac{d}{dx}\left(\text{arctanh}\, x\right)=\dfrac{1}{1-x^2}\quad (|x|<1)\) 33. \(\quad \dfrac{d}{dx}\left(\text{arcsech} \,x\right)=\dfrac{-1}{x\sqrt{1-x^2}}\quad (0<x<1)\) 34. \(\quad \dfrac{d}{dx}\left(\text{arccosh}\, x\right)=\dfrac{1}{\sqrt{x^2-1}}\quad (x>1)\) 35. \(\quad \dfrac{d}{dx}\left(\text{arccoth}\, x\right)=\dfrac{1}{1-x^2}\quad (|x|>1)\) 36. \(\quad \dfrac{d}{dx}\left(\text{arccsch}\,x\right)=\dfrac{-1}{|x|\sqrt{1+x^2}}\quad (x≠0)\)
- https://math.libretexts.org/Courses/Reedley_College/Differential_Equations_and_Linear_Algebra_(Zook)/16%3A_Appendices/16.03%3A_Table_of_Derivatives32. \(\quad \dfrac{d}{dx}\left(\text{arctanh}\, x\right)=\dfrac{1}{1-x^2}\quad (|x|<1)\) 33. \(\quad \dfrac{d}{dx}\left(\text{arcsech} \,x\right)=\dfrac{-1}{x\sqrt{1-x^2}}\quad (0<x<1)\) 34. \(\quad \...32. \(\quad \dfrac{d}{dx}\left(\text{arctanh}\, x\right)=\dfrac{1}{1-x^2}\quad (|x|<1)\) 33. \(\quad \dfrac{d}{dx}\left(\text{arcsech} \,x\right)=\dfrac{-1}{x\sqrt{1-x^2}}\quad (0<x<1)\) 34. \(\quad \dfrac{d}{dx}\left(\text{arccosh}\, x\right)=\dfrac{1}{\sqrt{x^2-1}}\quad (x>1)\) 35. \(\quad \dfrac{d}{dx}\left(\text{arccoth}\, x\right)=\dfrac{1}{1-x^2}\quad (|x|>1)\) 36. \(\quad \dfrac{d}{dx}\left(\text{arccsch}\,x\right)=\dfrac{-1}{|x|\sqrt{1+x^2}}\quad (x≠0)\)
- https://math.libretexts.org/Courses/Coastline_College/Math_C180%3A_Calculus_I_(Tran)/06%3A_Appendices/6.03%3A_Table_of_Derivatives32. \(\quad \dfrac{d}{dx}\left(\text{arctanh}\, x\right)=\dfrac{1}{1-x^2}\quad (|x|<1)\) 33. \(\quad \dfrac{d}{dx}\left(\text{arcsech} \,x\right)=\dfrac{-1}{x\sqrt{1-x^2}}\quad (0<x<1)\) 34. \(\quad \...32. \(\quad \dfrac{d}{dx}\left(\text{arctanh}\, x\right)=\dfrac{1}{1-x^2}\quad (|x|<1)\) 33. \(\quad \dfrac{d}{dx}\left(\text{arcsech} \,x\right)=\dfrac{-1}{x\sqrt{1-x^2}}\quad (0<x<1)\) 34. \(\quad \dfrac{d}{dx}\left(\text{arccosh}\, x\right)=\dfrac{1}{\sqrt{x^2-1}}\quad (x>1)\) 35. \(\quad \dfrac{d}{dx}\left(\text{arccoth}\, x\right)=\dfrac{1}{1-x^2}\quad (|x|>1)\) 36. \(\quad \dfrac{d}{dx}\left(\text{arccsch}\,x\right)=\dfrac{-1}{|x|\sqrt{1+x^2}}\quad (x≠0)\)
