Derivative of Arccosecant Function/Corollary

Corollary to Derivative of Arccosecant Function
Let $x \in \R$.

Let $\operatorname{arccsc} \left({\dfrac x a}\right)$ be the arccosecant of $\dfrac x a$.

Then:
 * $\dfrac {\mathrm d \left({\operatorname{arccsc} \left({\frac x a}\right) }\right)} {\mathrm d x} = \dfrac {-a} {\left\vert{x}\right\vert {\sqrt {x^2 - a^2} } }$