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tan^(-1)((1+tan x)/(1-tan x))...

tan^(-1)((1+tan x)/(1-tan x))

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The differentiation of tan^(-1)((tan x+1)/(tan x-1)) where x in(0,(pi)/(4)) with respect (x)/(2) is

sqrt((1-tan x)/(1+tan x))

(d)/(dx)((1-tan x)/(1+tan x))*(d)/(dx)((1-tan x)/(1+tan x))

tan ^ (- 1) ((cos x) / (1-tan x))

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