$\"\"$

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

$\"\"$

The function is $\"\"$ .

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

$\"\"$

Let $\"\"$ .

From the formula : $\"\"$ .

$\"\"$

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

$\"\"$

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