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JEE Main & Advanced Mathematics Applications of Derivatives Question Bank Application in Mechanics and Rate Measurer

  • question_answer
    If \[2t={{v}^{2}},\]then \[\frac{dv}{dt}\]is equal to [MP PET 1992]

    A)            0

    B)            1/4

    C)            ½

    D)            1/v

    Correct Answer: D

    Solution :

               \[\Rightarrow 2x\frac{dx}{dt}+2y\frac{dy}{dt}=0\]; Differentiating w.r.t. t of v, we get                    \[2v\frac{dv}{dt}=2\] or \[\frac{dv}{dt}=\frac{1}{v}\].


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