Hyperbolic Derivatives

$(\sinh x{)}^{\prime }=\cosh x$ $(\cosh x{)}^{\prime }=\sinh x$ $(cschx{)}^{\prime }=-cschxcothx$ $(sechx{)}^{\prime }=-sechx\tanh x$ $(\tanh x{)}^{\prime }=sec{h}^{2}x$ $(\coth x{)}^{\prime }=-csc{h}^{2}x$

Derivatives of Hyperbolic Inverse Functions

$$(sin{h}^{-1}x{)}^{\prime }=\frac{1}{\sqrt{x^2+1}}$$ $$({\cosh }^{-1}x{)}^{\prime }=\frac{1}{\sqrt{x^2-1}}$$ $$({\tanh }^{-1}x{)}^{\prime }=\frac{1}{1-x^2}$$