## Question

###### (2) Let f (x) = Vzx-T. Use the definition of the derivative t0 find f' () . (6) Given that cos (Inx) + bsin (Inx) where and b are real non-zero constants:[5 marks]Find the derivativesand(4 marks]Hence or otherwise , show thatdx=+y=0,marks]iii. Show by using Leibniz'$ formula that 4n+2) + (2n+1)xy6+"+ (+V)yl) =0 where yln) denotes the n"h derivalive of y.marks]

(2) Let f (x) = Vzx-T. Use the definition of the derivative t0 find f' () . (6) Given that cos (Inx) + bsin (Inx) where and b are real non-zero constants: [5 marks] Find the derivatives and (4 marks] Hence or otherwise , show that dx= +y=0, marks] iii. Show by using Leibniz'$ formula that 4n+2) + (2n+1)xy6+"+ (+V)yl) =0 where yln) denotes the n"h derivalive of y. marks]

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