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

  • question_answer
    For all real values of x, increasing function f(x) is [MP PET 1996]

    A)            \[{{x}^{-1}}\]

    B)            \[{{x}^{2}}\]

    C)            \[{{x}^{3}}\]

    D)            \[{{x}^{4}}\]

    Correct Answer: C

    Solution :

               Since \[f(x)={{x}^{3}}\Rightarrow f'(x)=3{{x}^{2}},\]which is non-negative for all real values of x.


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