Q28 of 96 Page 12

If y = (tan – 1 x)2, then prove that (1 – x2)2 y2 + 2x (1 + x2) y1 = 2

Formula: –





Given: –


Y = (tan – 1x)2


Then



Using formula (ii)&(i)




Again differentiating with respect to x on both the sides,we obtain


using formula(i)&(iii)



Hence proved.


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