Find the intervals in which `f(x)=(x+2)e^(-x)` is increasing or decreasing.

Explanation

To find the intervals in which the function \( f(x) = (x + 2)e^{-x} \) is increasing or decreasing, we need to follow these steps:

### Step 1: Find the derivative \( f'(x) \)
To determine where the function is increasing or decreasing, we first need to compute the derivative of \( f(x) \).

Using the product rule, we have:
\[
f'(x) = (x + 2) \cdot \frac{d}{dx}(e^{-x}) + e^{-x} \cdot \frac{d}{dx}(x + 2)
...