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

Explanation

To differentiate the function \( y = (x-1)(x-2) \), we will apply the product rule of differentiation. The product rule states that if you have two functions \( u \) and \( v \), then the derivative of their product is given by:

\[ \frac{dy}{dx} = u \frac{dv}{dx} + v \frac{du}{dx} \]

### Step-by-step Solution:

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