Derivative of Real Area Hyperbolic Sine of x over a

Theorem

 * $\dfrac {\map \d {\map {\sinh^{-1} } {\frac x a} } } {\d x} = \dfrac 1 {\sqrt {x^2 + a^2}}$

Also see

 * Derivative of $\cosh^{-1} \dfrac x a$


 * Derivative of $\tanh^{-1} \dfrac x a$


 * Derivative of $\coth^{-1} \dfrac x a$


 * Derivative of $\sech^{-1} \dfrac x a$


 * Derivative of $\csch^{-1} \dfrac x a$