Using differentials, find the approximate value of `1/((2. 002)^2)`

Explanation

To find the approximate value of \( \frac{1}{(2.002)^2} \) using differentials, we can follow these steps:

### Step 1: Define the function
Let \( y = \frac{1}{x^2} \). We will use \( x = 2 \) as our base point since \( 2.002 \) is close to \( 2 \).

### Step 2: Calculate the differential
We need to find the derivative \( \frac{dy}{dx} \):
\[
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