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 basic rules of differentiation step by step.

### Step 1: Define the function
Let \( y = (x-1)^{2} \).

### Step 2: Expand the function
We can expand the function using the formula \( (a-b)^{2} = a^{2} - 2ab + b^{2} \):
\[
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