The derivative of \({\rm{ta}}{{\rm{n}}^{ - 1}}\left( {\frac{{{\rm{sin\;x}} - {\rm{cos\;x}}}}{{\sin x + {\rm{cos\;x}}}}} \right)\), with respect to \(\frac{x}{2},~\text{where }\!\!~\!\!\text{ }\left( x\in \left( 0,~\frac{\pi }{2} \right) \right)\) is:

The derivative of \({\rm{ta}}{{\rm{n}}^{ - 1}}\left( {\frac{{{\rm{sin\

1.	The derivative of \({\rm{ta}}{{\rm{n}}^{ - 1}}\left( {\frac{{{\rm{sin\;x}} - {\rm{cos\;x}}}}{{\sin x + {\rm{cos\;x}}}}} \right)\), with respect to \(\frac{x}{2},~\text{where }\!\!~\!\!\text{ }\left( x\in \left( 0,~\frac{\pi }{2} \right) \right)\) is:
A.	1
B.	\(\frac{2}{3}\)
C.	\(\frac{1}{2}\)
D.	2
Answer» E.