12th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-5

  • question_answer
    If \[\mathbf{h}\left( \mathbf{x} \right)=\mathbf{f}\left( \mathbf{x} \right)+\mathbf{f}\left( -\mathbf{x} \right)\], then h(x) has get an extreme value at a point where \[\mathbf{f}'\left( \mathbf{x} \right)\]is:

    A)  zero                 

    B)  odd function  

    C)  even function   

    D)  None of these

    Correct Answer: C


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