Derivative of Arcsine Function

Theorem
Let $x \in \R$ be a real number such that $\size x < 1$, that is, $\size {\arcsin x} < \dfrac \pi 2$.

Let $\arcsin x$ be the real arcsine of $x$.

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

Also see

 * Derivative of Arccosine Function


 * Derivative of Arctangent Function
 * Derivative of Arccotangent Function


 * Derivative of Arcsecant Function
 * Derivative of Arccosecant Function