A) \[-\frac{y}{x}\]
B) \[\frac{3\sin (xy)+4\cos (xy)}{3\cos (xy)-4\sin (xy)}\]
C) \[\frac{3\cos (xy)+4\sin (xy)}{4\cos (xy)-3\sin (xy)}\]
D) None of these
Correct Answer: A
Solution :
\[\frac{dy}{dx}=-\frac{\partial f/\partial x}{\partial f/\partial y}=-\frac{3y\cos (xy)-4y\sin (xy)}{3x\cos (xy)-4x\sin (xy)}=-\frac{y}{x}\].You need to login to perform this action.
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