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KVPY Sample Paper KVPY Stream-SX Model Paper-22

  • question_answer
    If the function f(x) increases in the interval (a, b) then the function \[\phi \,(x)={{[f\,(x)]}^{2}}:\]

    A) increases in (a, b)

    B) decreases-in (a, b)

    C)  we cannot say that\[\phi \,(x)\]increases or decreases in (a, b)

    D) none of these

    Correct Answer: C

    Solution :

    \[\phi '\,(x)=2f\,(x).\]\[f'(x);\] if \[f\,(x)>0\] in (a, b) then \[\phi '\,(x)>0\] and if \[f\,(x)>0\]in (a, b) then \[\phi '\,(x)>0\]\[\Rightarrow \] C


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