$\"\"$

Derivatives of Inverse Hyperbolic Functions : $\"\"$ . $\"\"$

The function is $\"\"$ , where $\"\"$ .

Apply derivative on each side with respect to $\"\"$ .

$\"\"$

From the Pythagorean identity : $\"\"$ .

$\"\"$

From the reciprocal identity : $\"\"$ .

$\"\"$ .

$\"\"$

The derivative of $\"\"$ is $\"\"$ .