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

  • question_answer
    In the interval [0, 1], the function \[{{x}^{2}}-x+1\]is

    A)            Increasing                             

    B)            Decreasing

    C)            Neither increasing nor decreasing

    D)            None of these

    Correct Answer: C

    Solution :

               Let\[f(x)={{x}^{2}}-x+1\], \[f'(x)=2x-1\]                    Obviously \[f'(0)=-1\] and \[f'(1)=1\]                    Thus function is neither increasing nor decreasing.


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