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

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If y = (tan–1 x)2, 

then prove that (1 – x2)2 y2 + 2x (1 + x2) y1 = 2

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Formula: –

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

Hence proved

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