(iii)
(i) Let f(x) = (x – a) (x – b)
Using product rule, we have
= (x – a)
= (x – a)![]()
= (x – a) [1 – 0] + (x – b) [1 – 0]
= (x – a) + (x – b) = 2x - (a + b)
(ii) Let f(x) = (ax2 + b)2
=
Using product rule, we have
= (ax2 + b)
= (ax2 + b)
= (ax2 + b)
= (ax2 +b)[a(2x2 – 1)] + (ax2 + b) [a(2x2 – 1)]
= (ax2 +b)[2ax]+ (ax2 + b) [(2ax]
= 4ax (ax2 + b)
(iii) Let f(x) =
Using quotient rule, we have.
=
=
= ![]()
= ![]()
= ![]()
= ![]()
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