For some constants \( a \) and \( b \), find the derivative of (i) ...

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For some constants \( a \) and \( b \), find the derivative of
(i) \( (x-a)(x-b) \)
(ii) \( \left(a x^{2}+b\right)^{2} \)
(iii) \( \frac{x-a}{x-b} \)
\( \mathrm{P} \)
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