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

  • question_answer
    If \[\sin y=x\cos (a+y),\] then \[\frac{dy}{dx}=\]

    A)            \[\frac{{{\cos }^{2}}(a+y)}{\cos a}\]

    B)            \[\frac{\cos (a+y)}{{{\cos }^{2}}a}\]

    C)            \[\frac{{{\sin }^{2}}(a+y)}{\sin a}\]

    D)            None of these

    Correct Answer: A

    Solution :

               \[x=\frac{\sin y}{\cos (a+y)}\]. Find \[\frac{dx}{dy}\]and then\[\frac{dy}{dx}\].


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