FIND dy/dx if y=tan-1 [1+tanx/1-tanx] were x related to [-pie/4,pie/4] - Maths - Inverse Trigonometric Functions

Question

FIND dy/dx if y=tan-1 [1+tanx/1-tanx] were x related to
[-pie/4,pie/4]

Muskaan Talwar · Accepted Answer

Dear Student,

y=tan-11+tan x1-tan xy=tan-1tanπ4+tan x1-tanπ4 tan x=tan-1tanπ4+xy=π4+x   as x∈-π4,π4dydx=0+1=1

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