Derivative of the function $f (x) = (x - 1) (x - 2)$ is

2 x + 3

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3 x - 2

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3 x + 2

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2 x - 3

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Solution

The correct option is D $2 x - 3$
Given that $f (x) = (x - 2) (x - 1)$
Applying product rule, we get
$f^{'} (x) = (x - 2) \frac{d}{d x} (x - 1) + (x - 1) \frac{d}{d x} (x - 2) = (x - 2) + (x - 1) = 2 x - 3$ .

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