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JEE Main & Advanced Mathematics Applications of Derivatives Question Bank Maxima and Minima

  • question_answer
    The necessary condition to be maximum or minimum for the function is

    A)            \[f'(x)=0\]and it is sufficient

    B)            \[f''(x)=0\]and it is sufficient

    C)            \[f'(x)=0\]but it is not sufficient

    D)            \[f'(x)=0\]and \[f''(x)=-ve\]

    Correct Answer: C

    Solution :

               The necessary condition to be maximum or minimum for function \[{f}'(x)=0\] and for maximum \[{f}''(x)=-ve\] and for minimum \[{f}''(x)=+ve\].            Hence \[f'(x)=0\], but it is not sufficient.


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