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JEE Main & Advanced Mathematics Differentiation Question Bank Derivative at a point Standard Differentiation

  • question_answer
    For the function \[f(x)={{x}^{2}}-6x+8,2\le x\le 4\], the value of x for which \[f'(x)\] vanishes, is                                          [MP PET 1996]

    A)            \[\frac{9}{4}\]

    B)            \[\frac{5}{2}\]

    C)            3

    D)            \[\frac{7}{2}\]

    Correct Answer: C

    Solution :

               \[f'(x)=2x-6=0\Rightarrow x=3\].


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