JEE Main & Advanced Sample Paper JEE Main Sample Paper-19

  • question_answer If\[f'(x)=(x-1)(x-2)(x-3)\]then\[f(x)\]is monotonically increasing in

    A) \[x<1\]                                

    B) \[x>3,\,\,x<1\]

    C) \[x>3,\,\,1<x<2\]            

    D) \[x<1,\,\,2<x<3\]

    Correct Answer: C

    Solution :

     When \[x>3,\,\,f'(x)>0;\]\[when\,\,2<x<3,\,\,f'(x)<0;\]\[when\,\,1<x<2,\,\,f'(x)>0;\]\[when\,\,x<1,\,\,f'(x)<0\].

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