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

  • question_answer
    If \[y={{x}^{3}}+5\]and x changes from 3 to 2.99, then the approximate change in y is

    A)            2.7

    B)            ? 0. 27

    C)            27

    D)            None of these

    Correct Answer: B

    Solution :

               \[y={{x}^{3}}+5\Rightarrow dy=3{{x}^{2}}dx\]\[=3{{(3)}^{2}}-0.01=-0.27\].


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