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

  • question_answer
    The function \[\sin x-bx+c\]will be increasing in the interval \[(-\infty ,\,\,\infty )\], if

    A)            \[b\le 1\]

    B)            \[b\le 0\]

    C)            \[b<-1\]

    D)            \[b\ge 0\]

    Correct Answer: C

    Solution :

               Let \[f(x)=\sin x-bx+c\]                    \[\therefore f'(x)=\cos x-b>0\] or \[\cos x>b\] or \[b<-1\].


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