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JEE Main & Advanced Mathematics Applications of Derivatives Question Bank Increasing and Decreasing Function

  • question_answer
    The function \[f(x)={{x}^{2}}\]is increasing in the interval

    A)            \[(-1,\,1)\]

    B)            \[(-\infty ,\,\infty )\]

    C)            \[(0,\,\infty )\]

    D)            \[(-\infty ,\,0)\]

    Correct Answer: C

    Solution :

               \[f(x)={{x}^{2}}\Rightarrow f'(x)=2x>0\]    (for increasing)                    i.e., \[0<x<\infty \]. Thus \[f(x)\] is increasing in \[(0,\infty )\].


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