\[\frac{d}{dx}{{\tan }^{-1}}\left[ \frac{\cos x-\sin x}{\cos x+\sin x} \right]=\] [AISSE 1985, 87; DSSE 1982,84; MNR 1985; Karnataka CET 2002; RPET 2002, 03]

\[\frac{1}{2\,\,(1+{{x}^{2}})}\]

\[\frac{d}{dx}{{\tan }^{-1}}\left[ \frac{\cos x-\sin x}{\cos x+\sin x}

1.	\[\frac{d}{dx}{{\tan }^{-1}}\left[ \frac{\cos x-\sin x}{\cos x+\sin x} \right]=\] [AISSE 1985, 87; DSSE 1982,84; MNR 1985; Karnataka CET 2002; RPET 2002, 03]
A.	\[\frac{1}{2\,\,(1+{{x}^{2}})}\]
B.	\[\frac{1}{1+{{x}^{2}}}\]
C.	1
D.	-1
Answer» E.

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\[\frac{d}{dx}{{\tan }^{-1}}\left[ \frac{\cos x-\sin x}{\cos x+\sin x} \right]=\] [AISSE 1985, 87; DSSE 1982,84; MNR 1985; Karnataka CET 2002; RPET 2002, 03]

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