1.

If \[\cos (x+y)=y\sin x,\]then \[\frac{dy}{dx}=\]                                                [AI CBSE 1979]

A.            \[-\frac{\sin (x+y)+y\cos x}{\sin x+\sin x+y)}\]
B.            \[\frac{\sin (x+y)+y\cos x}{\sin x+\sin (x+y)}\]
C.            \[-\frac{\sin (x+y)+y\cos x}{\sin x+\sin x+y)}\]
D.        None of these
Answer» B.            \[\frac{\sin (x+y)+y\cos x}{\sin x+\sin (x+y)}\]


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