JEE Main & Advanced Mathematics Applications of Derivatives Question Bank Maxima and Minima

  • question_answer
    If \[f(x)=x+\frac{1}{x},\] x > 0, then its greatest value is [RPET 2002]

    A)            ? 2

    B)            0

    C)            3

    D)            None of these

    Correct Answer: D

    Solution :

               \[f(x)=x+\frac{1}{x}\] Þ \[{f}'(x)=1-\frac{1}{{{x}^{2}}}\]            Put \[{f}'(x)=0\],  \ \[x=-1,\,1\]            Since x > 0, so no maximum value can be found.


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