Differentiate each function by applying the basic rules of differentiation
`(x-1)^(2)`

Explanation

To differentiate the function \( (x - 1)^2 \), we will apply the chain rule of differentiation. Here’s a step-by-step solution:

### Step 1: Identify the outer and inner functions
We can identify the function as:
- Outer function: \( u^2 \) where \( u = x - 1 \)
- Inner function: \( u = x - 1 \)

### Step 2: Differentiate the outer function
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