differentiation

Question: If $y = \sqrt {\frac{{1 + \tan x}}{{1 - \tan x}}} $, then $\frac{{dy}}{{dx}} = $



1) $\frac{1}{2}\sqrt {\frac{{1 - \tan x}}{{1 + \tan x}}} .{\sec ^2}\left( {\frac{\pi }{4} + x} \right)$
2) $\sqrt {\frac{{1 - \tan x}}{{1 + \tan x}}} .{\sec ^2}\left( {\frac{\pi }{4} + x} \right)$
3) $\frac{1}{2}\sqrt {\frac{{1 - \tan x}}{{1 + \tan x}}} .\sec \left( {\frac{\pi }{4} + x} \right)$
4) None of these
Solution: Explanation: Explanation
standard-differentiation

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