Question: Given y = t a n - 1 x ( i ) Show that: ( 1 + x 2 ) y 2 + 2 x

Given y=tan-1x
(i) Show that: (1+x2)y2+2xy1=0.
(ii) Hence, deduce that (1+x2)yn+2+2(n+1)xyn+1+n(n+1)yn=0.
Given y = t a n - 1 x ( i ) Show that: ( 1 + x 2

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