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

  • question_answer
    If  sin(x+y)=log(x+y), then \[\frac{dy}{dx}\]= [Karnataka CET 1993; RPET 1989, 92; Roorkee 2000]

    A)            2

    B)            ? 2

    C)            1    

    D)            ?1

    Correct Answer: D

    Solution :

               It is implicit function, so                    \[\frac{dy}{dx}=-\frac{\partial f/\partial x}{\partial f/\partial y}=-\frac{\cos (x+y)-\frac{1}{x+y}}{\cos (x+y)-\frac{1}{x+y}}=-1\].


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