JEE Main & Advanced Mathematics Applications of Derivatives Question Bank Rolle's theorem Lagrange's mean value theorem

  • question_answer
    Rolle's theorem is true for the function \[f(x)={{x}^{2}}-4\]in the interval

    A)            [?2, 0]

    B)            [?2, 2]

    C)            \[\left[ 0,\,\frac{1}{2} \right]\]

    D)            \[[0,\,\,2]\]

    Correct Answer: B

    Solution :

               If Rolle's theorem is true for any function \[f(x)\] in \[[a,\,b].\]                    Then \[f(a)=f(b),\]therefore [?2,2].

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