Second Order Derivative

First, simplify as follows:

Since , we have:

Now, taking the first derivative with respect to :

Then, taking the second derivative with respect to :

Thus, the value of is 0.

We need to determine which function’s second derivative equals . Let us check each option.

For (1) : :

For (2) : :

For (3) : :

For (4) : :

Thus, the correct answer is: