Derivative of Arccosine Function/Corollary

Corollary to Derivative of Arccosine Function
Let $a \in \R$ be a constant

Let $x \in \R$ be a real number such that $x^2 < a^2$.

Let $\map \arccos {\dfrac x a}$ be the arccosine of $\dfrac x a$.

Then:
 * $\map {\dfrac \d {\d x} } {\map \arccos {\dfrac x a} } = \dfrac {-1} {\sqrt {a^2 - x^2} }$

Also see

 * Derivative of $\arcsin \dfrac x a$


 * Derivative of $\arctan \dfrac x a$


 * Derivative of $\arccot \dfrac x a$


 * Derivative of $\arcsec \dfrac x a$


 * Derivative of $\arccsc \dfrac x a$