Q39 of 43 Page 12

(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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