If \[y={{\tan }^{-1}}\left[ \frac{\sin x+\cos x}{\cos x-\sin x} \right]\,,\] then \[\frac{dy}{dx}\] is [UPSEAT 2001]

If \[y={{\tan }^{-1}}\left[ \frac{\sin x+\cos x}{\cos x-\sin x} \right

1.	If \[y={{\tan }^{-1}}\left[ \frac{\sin x+\cos x}{\cos x-\sin x} \right]\,,\] then \[\frac{dy}{dx}\] is [UPSEAT 2001]
A.	\[1/2\]
B.	\[\pi /4\]
C.	0
D.	1
Answer» E.

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If \[y={{\tan }^{-1}}\left[ \frac{\sin x+\cos x}{\cos x-\sin x} \right]\,,\] then \[\frac{dy}{dx}\] is [UPSEAT 2001]

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