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JEE Main & Advanced Mathematics Differentiation Question Bank Derivative at a point Standard Differentiation

  • question_answer
    If \[pv=81\], then \[\frac{dp}{dv}\] is at v = 9 equal to [MP PET 1999]

    A)            1

    B)          ?1

    C)            2

    D)            None of these

    Correct Answer: B

    Solution :

               \[pv=81\Rightarrow \frac{dp}{dv}=\frac{-81}{{{v}^{2}}}=\frac{-81}{81}=-1\].


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