Use differentials to find the approximate value of `(log)_e(4. 01),` having given that `(log)_e4=1. 3863` .

Explanation

To find the approximate value of \( \log_e(4.01) \) using differentials, we can follow these steps:

### Step 1: Define the function
Let \( f(x) = \log_e(x) \). We need to find \( f(4.01) \).

### Step 2: Identify the point of approximation
We know that \( 4.01 \) can be expressed as \( 4 + 0.01 \). Here, we let \( x = 4 \) and \( \Delta x = 0.01 \).

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