Q35 of 354 Page 12

If 0 < x < 1, prove that


Put x = tan θ







Considering the limits


0 < x < 1


0 < tan θ < 1




Now,


y = 2θ + 2θ


y = 4θ


y = 4tan–1x


Differentiating w.r.t x we get




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