Question

how to differentiate : y = sqrt[ (1+tan x) / ( 1- tan x) ]

Answer 1

\[\sqrt{\dfrac{1+tanx}{1-tanx}}\] right?

Answer 2

yes right

Answer 3

Let the sqrt aside, just calculate the terms inside, turn tan to sin/cos and simplify it

what do you have?

Answer 4

tan = sin/cos

Answer 5

\[\sqrt{\dfrac{\cos x + \sin x}{\cos x-\sin x}}\]