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

  • question_answer
    For every value of x function \[f(x)={{e}^{x}}\]is

    A)            Decreasing                            

    B)            Increasing

    C)            Neither increasing nor decreasing

    D)            None of these

    Correct Answer: B

    Solution :

               \[f(x)={{e}^{x}}\Rightarrow f'(x)={{e}^{x}}>0,\,\forall x\]            Thus \[f(x)\]is increasing for all x.


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