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

  • question_answer
    The function                                                                            \[f(x)=1-{{x}^{3}}-{{x}^{5}}\]  is decreasing for  [Kerala (Engg.) 2002]

    A)            \[1\le x\le 5\]

    B)            \[x\le 1\]

    C)            \[x\ge 1\]

    D)            All values of x

    Correct Answer: D

    Solution :

               \[f(x)=1-{{x}^{3}}-{{x}^{5}}\]  Þ \[{f}'(x)=-3{{x}^{2}}-5{{x}^{4}}\]            \[{f}'(x)<0\] for all values of x.


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