If `y=[(x^2+1)/(x+1)]`, then find `(dy)/(dx)`.

Explanation

To solve the problem, we need to find the derivative of the function \( y = \frac{x^2 + 1}{x + 1} \) with respect to \( x \). We will use the quotient rule for differentiation.

### Step-by-Step Solution:

1. **Identify the function**:
We have \( y = \frac{x^2 + 1}{x + 1} \).

2. **Apply the Quotient Rule**:
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