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

  • question_answer
    On the interval (1,3), the function \[f(x)=3x+\frac{2}{x}\]is                                                               [AMU 1999]

    A)            Strictly decreasing             

    B)            Strictly increasing

    C)            Decreasing in (2, 3) only

    D)            Neither increasing nor decreasing

    Correct Answer: B

    Solution :

               \[f(x)=3x+\frac{2}{x}\] Þ \[{f}'(x)=3-\frac{2}{{{x}^{2}}}\]            Clearly \[{f}'(x)>0\] on the interval (1, 3)                    \ \[f(x)\] is strictly increasing.


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