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

  • question_answer
    The sufficient conditions for the function \[f:R\to R\] is to be maximum at \[x=a\], will be

    A)            \[f'(a)>0\]and \[f''(a)>0\]       

    B)            \[f'(a)=0\]and \[f''(a)=0\]

    C)            \[f'(a)=0\]and \[f''(a)<0\]       

    D)            \[f'(a)>0\]and \[f''(a)<0\]

    Correct Answer: C

    Solution :

               Given function \[f:R\to R\] is to be maximum, if \[{f}'(a)=0\] and \[{f}''(a)<0\].


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