Step 1:

The function is $\"\"$ .

Rate of change of $\"\"$ with respect to $\"\"$ means, the rate changes when the time is different.

Find $\"\"$ .

Consider $\"\"$ .

Rewrite the function as $\"\"$

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

$\"\"$

Thus,

$\"\"$ .

Step 2 :

When $\"\"$ ,

$\"\"$

Step 3 :

B).

When $\"\"$ ,

$\"\"$

Solution :

When $\"\"$ , the rate of change of $\"\"$ with respect to $\"\"$ is $\"\"$ .