$\"\"$

\

The function is $\"\"$ and $\"\"$ .

\

Function under the square root is always positive.

\

$\"\"$

\

$\"\"$ .

\

The domain of the function is $\"\"$ .

\

$\"\"$

\

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

\

$\"\"$

\

$\"\"$ .

\

$\"\"$ on $\"\"$ .

\

The function is one-to-one function and monotonic.

\

$\"\"$

\

Let $\"\"$ .

\

$\"\"$

\

Squaring on each side.

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

$\"\"$

\

Find the inverse of the function:

\

$\"\"$

\

$\"\"$

\

Substitute $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

Apply formula: $\"\"$ .

\

$\"\"$

\

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

\

$\"\"$

\

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