Find the approximate values of :
`tan^(-1)(1.001)`.

Explanation

To find the approximate value of \( \tan^{-1}(1.001) \), we can use the concept of derivatives and linear approximation. Here’s a step-by-step solution:

### Step 1: Define the function
Let \( f(x) = \tan^{-1}(x) \). We need to find \( f(1.001) \).

### Step 2: Identify \( x \) and \( h \)
We can express \( 1.001 \) as \( 1 + 0.001 \). Thus, we have:
- \( x = 1 \)
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