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.