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

  • question_answer
    \[f(x)={{x}^{3}}-27x+5\]is an increasing function, when                    [MP PET 1995]

    A)            \[x<-3\]

    B)            \[|x|\,>3\]

    C)            \[x\le -3\]

    D)            \[|x|\,<3\]

    Correct Answer: B

    Solution :

               To be increasing \[f'(x)=3{{x}^{2}}-27>0\]                    \[\Rightarrow {{x}^{2}}>9\]Þ \[|x|>3\].


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