$\"\"$

The function is $\"\"$ and interval is $\"\"$

Find an equation for the inverse function,

let $\"\"$ and solve for $\"\"$ in terms of $\"\"$ .

Let $\"\"$

$\"\"$

Differentiate on each side with respect to $\"\"$

$\"\"$

$\"\"$ \ \

The interval is $\"\"$ Here $\"\"$ and $\"\"$ both are positive functions where expect $\"\"$ .

Therefore $\"\"$ is positive sign at the given interval.

Hence, $\"\"$ is monotonic. \ \

$\"\"$ is monotonic and therefore has an increasing in the given interval. \ \ \ \ $\"\"$

$\"\"$ is monotonic and therefore has an increasing in the given interval.