For some constants a and b, find the derivative of

Question 37 of 70intermediate🔧 ApplyShort Answer3 marks

For some constants $a$ and $b$ , find the derivative of

(i)

$(x - a)(x - b)$

Answer

2x - a - b

(ii)

$(ax^2 + b)^2$

Answer

4ax(ax² + b)

(iii)

$\frac{x - a}{x - b}$

Answer

(a - b)/(x - b)²

Explanation

This question tests application of product rule, chain rule, and quotient rule for differentiation. The context provides the standard formulas: (uv)' = u'v + uv' and (u/v)' = (u'v - uv')/v². Constants a and b are treated as fixed values during differentiation.

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