Derivative of Real Area Hyperbolic Sine of x over a

Theorem

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

Also see

 * Derivative of $\arcosh \dfrac x a$


 * Derivative of $\artanh \dfrac x a$


 * Derivative of $\arcoth \dfrac x a$


 * Derivative of $\arsech \dfrac x a$


 * Derivative of $\arcsch \dfrac x a$