1.

If \[\sin y+{{e}^{-x\,\cos y}}=e,\]then \[\frac{dy}{dx}\] at \[(1,\pi )\] is [Kerala (Engg.) 2002]

A.            \[\sin y\]
B.            \[-x\cos y\]
C.            \[e\]
D.   \[\sin y-x\,\cos y\]
Answer» D.   \[\sin y-x\,\cos y\]


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