Derivatives

To solve the problem, we need to find the second derivative of with respect to , denoted as , for the equation at .

First, differentiate the entire equation with respect to :

Using the chain rule, we get:

Rearrange to solve for :

Next, we compute the second derivative. Differentiate with respect to :

Using the quotient rule, , let:

,

Then,

Substitute into this expression:

Now, find the values at . Plug in into the original equation to solve for :

If , then and the equation holds: .

Thus, and .

Evaluate the derivatives:

.

Substitute these into the second derivative expression:

The value of at is .