J & K CET Engineering J and K - CET Engineering Solved Paper-2007

  • question_answer
    The function \[f(x)=1-{{x}^{3}}\]

    A)  increases everywhere

    B)  decrease in \[(0,\infty )\]

    C)  increases is \[(0,\infty )\]

    D)  None of the above

    Correct Answer: B

    Solution :

    Given,   \[f(x)=1-{{x}^{3}}\] \[f'(x)=-2{{x}^{2}}<0,\,\,\forall \,\,x\in R\] So,  \[f(x)\] is decreases in \[(0,\infty )\].


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