differentiate cos-1 (1-x / 1+x) w.r.t.x

Let y =cos-11-x1+xLet x = tan2θ θ=tan-1x y =cos-11-x1+x=cos-11- tan2θ1+ tan2θ=cos-1cos2θ=2θy=2θ=2tan-1xSO dydx=21+x2ddxx=21+x×12x=1x1+x

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