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

  • question_answer
    The function                                                                                     \[f(x)=x\,+\,\cos x\]  is       [DCE 2002]

    A)            Always increasing

    B)            Always decreasing

    C)            Increasing for certain range of x

    D)            None of these

    Correct Answer: A

    Solution :

                                                                                                      \[f(x)=x+\cos x\]  Þ                                                                                       \[{f}'(x)=1-\sin x\]                                                                                                        \[{f}'(x)>0\]  for all values of x.                    \                                                                                                  \[f(x)\]  is always increasing.                    


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