If y = cos-1 (1 - x2)/(1 + x2) then find dy/dx. – InterviewSolution

1.

If y = cos-1 (1 - x2)/(1 + x2) then find dy/dx.

Answer»

Putting x = tan θ, we get

y = cos^-1 (1 - tan² θ)/(1 + tan² θ) = cos^-1 cos 2 θ = 2θ = 2tan^-1 x

∴ dy/dx = 2 x 1/(1 + x²) = 2/(1 + x²)

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