Differentiate the function w r t x 1+tan x1-tan x - Maths - Limits and Derivatives

Question

Differentiate the function w r t x
1 + tan   x 1 - tan   x

Rishabh Mittal · Accepted Answer

Dear Student ,

Please find below the solution to the asked query :

Let y=1 + tan x1- tan xy=tan π4 + tan x1 - tan π4 
 tan xy= tan π4 + xDifferentiating wrt x on both sides, we getdydx=12 tan π4 + x  
 sec2 π4+x     ANS
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Differentiate the function w.r.t. x 1 + tan x 1 - tan x

Differentiate the function w.r.t. x
$\sqrt{\frac{1 + \tan x}{1 - \tan x}}$