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JEE Main & Advanced Mathematics Differentiation Question Bank Differentiation of implicit function Parametric

  • question_answer
    If \[3\sin (xy)+4\cos (xy)=5\], then \[\frac{dy}{dx}=\] [EAMCET 1994]

    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 :

               \[\frac{dy}{dx}=-\frac{\partial f/\partial x}{\partial f/\partial y}=-\frac{3y\cos (xy)-4y\sin (xy)}{3x\cos (xy)-4x\sin (xy)}=-\frac{y}{x}\].


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